1984
1. Yakubovich S.B. Composition representations of some
integral transforms,
depending at the parameters of hypergeometric
functions. Minsk. VINITI.
11.09.84. N 6166. 12 pp.(in
Russian).
1985
2. Vu Kim Tuan, Yakubovich S.B. The Kontorovich-Lebedev
integral
transformation in a new class of functions.(in
Russian). Dokl. Akad. Nauk BSSR. Vol.29,N 1, p.11-14. English
translation in Amer. Math.Soc.Transl.1987. Vol.137.p.61-65. MR 86d:
44009.
3. Yakubovich S.B. A remark on the inversion formula
for Wimp's integral
transformation with respect to the index.
Differentzial'nye Uravneniya.
Vol.21, N 6, p. 1097-1098.(in Russian).
4. Brychkov Yu.A., Marichev O.I., Yakubovich S.B.
F_3-transform. Summaries of the Intern. Conf. Complex Anal.Varna'85, May 5-11.
P.54.
1986
5. Vu Kim Tuan, Marichev O.I., Yakubovich S.B.
Composition structure of
integral transformations. Dokl.Akad.Nauk SSSR.
Vol.286, N4,p.786-790.
(in Russian).English translation in Soviet
Math.Dokl.Vol. 33, N1,p.166-170. MR
87g:44001.
6. Yakubovich S.B.A general approach to the theory of
integral transforms with respect to an index. Izv.Vyssh.Uchebn.Zaved. Mat. N
6,p.77-79.(in Russian).
7. Yakubovich S.B., Vu Kim Tuan. On the
Kontorovich-Lebedev transform. In
coll.:Nonclassical equations of mathematical physics.
Novosibirsk. p.194-197. (in Russian).
8. Brychkov Yu.A., Marichev O.I., Yakubovich S.B.
Integral Appel
F$_3$-transformation with respect to parameters.
Complex Anal. and Appl.
Varna'85. Bulgarian Acad.Sci. Publ,p.135-140. Sofia. MR89:44007.
9.Brychkov Yu.A.,Marichev O.I.,Yakubovich S.B.
Factorizations of integral
transformations. Rep. of the Intern. Conference on
Generalized Functions.
Debrecen'84. Publ.Math. T.33, p.161.
1987
10. Yakubovich S.B. On the convolution for the
Kontorovich-Lebedev
transformation and its applications to integral
equations. Dokl. AN BSSR.
Vol.31, N 2, p.101-103. MR88g:45009. (in
Russian).
11.Yakubovich S.B. Samko S.G., Kilbas A.A., Marichev
O.I. Fractional
integrals and derivatives and their applications.
Minsk:Nauka i Technika. PP.545-551 (in Russian). English translation:
Fractional integrals and derivatives. Theory and applications. Gordon and
Breach. New York. London. 1993.
12. Yakubovich S.B. On the convolution for the
Kontorovich-Lebedev transform. Tez.dokl. Vsesoyuzn. Konf. Kuibyshev. (in
Russian).
13. Yakubovich S.B., Vu Kim Tuan, Marichev O.I., Kalla
S.L. A class of index integral transforms. Rev.Tec.Ing.Univ.Zulia. Edition
Especial. Vol.10. N 1, p.105-118. MR 89a: 44012.
14. Yakubovich S.B. General index integral transforms
of Kontorovich-Lebedev type and some of their applications. Minsk. Abstr. Ph.D.
thesis. 20 pp. (in Russian).
15. Yakubovich S.B. General index integral transforms
of Kontorovich-Lebedev type and some of their applications. Ph.D. thesis.
Minsk. 130 pp. (in Russian).
1988
16. Vu Kim Tuan, Yakubovich S.B. On the
Kontorovich-Lebedev transform of
functions admiting an exponential height. In coll.: Mathematical
physics and nonlinear mechanics. Kiev. Vol. 9(43). p. 6-9. MR 89k:44012. (in
Russian).
1990
17. Nguyen Thanh Hai, Yakubovich S.B. About some
two-dimensional integral
transforms of convolution type. Dokl. Akad.
Nauk. BSSR. Vol. 34. N 5, p.
396-398. (in Russian).
18. Yakubovich S.B. About one constructive method for
building of integral
convolutions. Dokl. AN BSSR. Vol.34. N7, p. 588-591.
(in Russian).
1991
19. Yakubovich S.B. On integral convolutions of Laplace
type for G-transforms. Izv. Akad. Nauk BSSR. N6, p.11-16. (in Russian).
20. Saigo M., Yakubovich S.B. On the theory of
convolution integrals for
G-transforms. Fukuoka Univ. Sci. Reports. N2,
p.183-191.
21. Yakubovich S.B., Nguyen Thanh Hai. Integral
convolutions for H-transforms. Izv. Vysh. Uchebn. Zaved. Mat. N8, p.72-79.
22. Yakubovich S.B., Luchko Yu.F. The
generalizationsof Leibniz rule on the integral convolutions. Dokl. AN BSSR.
Vol.35,N 2, p. 111-115. (in Russian).
23. Yakubovich S.B., Luchko Yu.F. The generalizations
of integral analog of
the Leibniz rule on the G-convolutions. Extracta
Mathematicae. N 2-3, p.
119-122.
24. Yakubovich S.B., Luchko Yu.F. The evaluation of
the integrals and series with respect of indices of special functions. Proc. of
ISSAC-91, p. 271-280.
25. Luchko Yu.F., Yakubovich S.B. The generating
operators and convolutions
for some integral transforms. Dokl. AN BSSR. Vol.35, N9, p.773-776.
(in Russian).
26. Yakubovich S.B. On the class of Wimp's transforms.
Summaries of the Sci. Conf. of BSU 70-th anniv. P. 76. (in Russian).
27. Yakubovich S.B., Staroseletz N.P. On the modified
Lebedev-Skalskaya transforms. Scientific Conf. of BSU 70-th anniv. P. 222.
28. Luchko Yu.F., Yakubovich S.B. Convolutions of
generalized fractional
integration operators. Summaries of the Intern. Conf.
on Compl. Anal. and
Appl. Varna'91. P. 23.
29. Yakubovich S.B.On the new approach to convolution
constructions. Summaries of the Intern. Conf. on Compl. Anal. and Appl.
Varna'91. P. 45.
1992
30. Yakubovich S.B. About some classes of discrete
transforms, which are
related to matrixes linear operators. Izv. AN BSSR. N 1, p.20-25. (in
Russian).
31. Yakubovich S.B. One the one class of the integral
convolutions. Izv. Acad. Nauk BSSR. N 3-4, p. 27-33. (in Russian).
32. Vu Kim Tuan, Yakubovich S.B. On the criterion of
unitary of the bilateral integral transform. Ukranian Math. J. Vol.44, N5, p.
697-700. (in Russian).English transl.: A criterion for a two-sided integral
transform to be unitary. Ukr.Math.J. Vol.44,5,630-632.
33. Yakubovich S.B. The Kontorovich-Lebedev type
transforms and their
convolutions. Summaries of the Intern. Conf. in
Samara. P.280.(in Russian).
34. Luchko Yu.F., Yakubovich S.B. Operational calculus
of the generalized
fractional integration operators. Summaries of the
Intern. Conf. in Samara.
P. 155. (in Russian).
35. Yakubovich S.B., Staroseletz N.P. On some
modifications of the Lebedev-
Skalskaya transforms. Int. SCi. Conf. to memory of academician
M.Kravchuk.
Kiev. Ukraine. P. 15.(in Russian).
36. Yakubovich S.B. Composition theorems of Plancherel
type for some index
transforms. YI Sci. Conf. of mathematicians of
Republic of Belarus. P. 150.
(in Russian).
37. Yakubovich S.B. Some generalizations of the
Laplace convolution.
Math. Fiz. Nelinein. Mekh. 17,(51), 8-12. (in
Russian).
38. Yakubovich S.B., Nguyen Thanh Hai, Buschman R.G.
Convolutions for
H-function transformations. Indian J. Pure Appl. Math.
Vol.23, N 10,
p.743-752.
39. Nguyen Thanh Hai, Yakubovich S.B., Wimp J.
Multidimensional Watson
transforms. Int. J. of Math. and Statistical Sciences.
Vol.1, N1,
105-119.
40. Yakubovich S.B., Luchko Yu.F. The convolutional
method for the
constructing of integral analog of Leibniz rules. In
Proc. of Intern. Conf. Constructive Function Theory. Varna'91. Publ. House
Bulgarian Acad. of Sciences. P. 307.
1993
41. Yakubovich S.B. The Kontorovich-Lebedev type
transforms and their
convolutions. Proc. of the Intern. Conf. on Compl.
Anal. and Generalized
functions Varna'91. Publ. House of Bulg. Acad. of
Science. P. 348-360.
42. Luchko Yu.F., Yakubovich S.B. Convolutions of the
generalized fractional integration operators. Proc. of the Intern. Conf. on
Compl. Anal. And Generalized functions Varna'91. Publ. House of Bulg. Acad. of
Science. P.199-211.
43. Luchko Yu.F., Yakubovich S.B. Convolutions of the
generalized fractional integration operators. Math.
Balkanica. Vol.7, N 2, p. 119-130.
44. Gorenflo R., Yakubovich S.B. About integral
convolutions for inverse G-
transforms. Free University of Berlin. Preprint
A-9/93. 9 pp.
45. Gorenflo R., Kilbas A.A., Yakubovich S.B. On Abel
integral equation.
Free University of Berlin. Preprint A-8/93.
46. Yakubovich S.B., Moshinskii A.I. Integral
equations and convolutions
related to the Kontorovich-Lebedev type integral
transforms. Differentzial'nye uravneniya. Vol.29, N7, p. 1272-1283. (in
Russian).
47. Yakubovich S.B., Kalla S.L. On the new approach to
convolution
constructions. Intern. J. of Math. and Math. Sci. Vol.
16, N3, p. 435-448.
48. Srivastava H.M., Yakubovich S.B., Luchko Yu.F. The
convolutional method
for the development of new Leibniz rules involving
fractional derivatives
and of their integral analogs. Integral Transforms and
Special Functions.
Vol.1, N2, p. 119-134.
49. Srivastava H.M., Yakubovich S.B., Luchko Yu.F. New
families of Leibniz
rules for fractional calculus and their integral
analogues. Recent advances
in Fractional Calculus. Global Publishing Company.
Sauk Rapids. Minnesota.
P. 248-291.
50. Yakubovich S.B. On the Mehler-Fock integral
transform in L_p-space.
Extracta
Mathematicae. Vol.8, N 2-3, p.162-164.
51. Yakubovich S.B. On the question of construction of
integral transforms
by composition method. Izv. Vuzov.
Mat. N9, 71-79. (in Russian).
52. Kalla S.L., Luchko Yu.F., Yakubovich S.B. The new
Leibniz rules and their integral analogues. Intern. J. of Math. and
Statist. Sciences.
Vol.2, N 2,187-226.
1994
53. Yakubovich S.B., Fisher B. On the theory of the
Kontorovich-Lebedev
transforms of distributions. Proc. of Amer. Math.
Society. Vol. 122,
N 3,773-777.
54.Luchko Yu.F., Yakubovich S.B. Operational calculus
of the generalized
fractional integration operators and its applications
to the integro-
differential equations. Differentzial'nye
uravneniya. Vol.30, N2, p. 269-280. (in Russian).
55. Gorenflo R., Kilbas A.A., Yakubovich S.B. On Abel
integral equation.
Journal of Fractional calculus. Vol.5, p.59-68.
56. Yakubovich S.B., Luchko Yu.F. Operational
properties of the
convolution for the Kontorovich-Lebedev transform. Dokl.
AN Belarusi.
Vol. 38, N 4, 19-23. (in Russian).
57. Yakubovich S.B. Some composition theorems of
Plancherel type for index
transforms. Dokl. AN Belarusi. Vol. 38, N 6, 29-32 (in
Russian).
58. Mityushev V.V., Yakubovich S.B. On the non-local
problems for Laplace
equation. Stupskie frace Matem. Przyrodn.
N 9a, 71-82.
59. Yakubovich S.B. On the index-convolution
Kontorovich-Lebedev
transform. Integral Transforms and Special Functions.
Vol. 2, 1,
77-80.
60. Yakubovich S.B., Saigo M., Lemeshevskaya N.P. On
the class of Lebedev-
Skalskaya type index transforms. Fukuoka. Sci.Reports.
Vol. 24, 2, 67-81.
61. Yakubovich S.B., Saigo M. On the Mehler-Fock Index
Transform in
L_p-space. Proc. Inst. of Math. Sci. Kyoto
Univ. Vol. 8, 130-144.
62. Yakubovich S.B., Saigo M.The
Kontorovich-LebedevTransform and Its
Convolution. Proc. Inst. of Math. Sci. Kyoto
Univ. Vol. 12, 84-119.
63.YakubovichS.B.,SaigoM. TheKontorovich-Lebedevandthe
Mehler-Fock transforms in L_p-space. Abstracts of the
Conferenceof
the Mathematical Society of Japan. Section of the
Theory of Functions.
Tokyo. p.3.
64. Gorenflo R., Yakubovich S.B. On the integral
convolution for inverse G-
transforms. Acta Math. Vietnam.Vol.
19, N 1, pp. 145-154.
1995
65. Yakubovich S.B., Saigo M., Gusarevich, L.D.Some
asymptotic
expansions of special functions by their
indices.Fukuoka.
Sci.Reports. Vol. 25, 1, 23-32.
66. Yakubovich S.B. On the new approach to
constructions of the index
transforms. Dissertationes Mathematicae. Vol. 340, 321-335.
Warsawa.
67. Yakubovich S.B. About a new class of integral
transforms in Hilbert
space. Math. Balkanika. Vol. 9, N 2-3,
pp. 179-191.
68. Yakubovich S.B., Lemeshevskaya N.P. On the
Lebedev-Skalskaya integral
transform. Vesti AN Belarusi. N
2, 28-35 (in Russian).
69. Yakubovich S.B., Saigo
M.Onthegeneralindextransformsin
Lp-space. Proc. Inst. of Math. Sci. Kyoto
Univ. Vol. 7, 60-71.
70. Yakubovich S.B., Saigo M.OntheLp-theorems for
index
transforms . Proc. Inst. of Math. Sci. Kyoto
Univ. Vol. 7, 72-83.
71. S.S. de Romero, S.L.Kalla, S.B.Yakubovich.
Applications of N-fractional
Calculus to Infinite Sums. Journal of Fractional
Calculus. Vol.8, 37-42.
72. Yakubovich S.B. On some new properties of the
Kontorovich-Lebedev like
integral
transforms. Rev.Tec. Ing. Univ. Zulia. Vol. 18, N 3, 291-299.
73. Fisher B., Yakubovich S.B., Yongping Chen. Some
non-commutative
neutrix products of functions. Math.Balkanika. Vol. 9,
287-298.
1996
74. Vasil'ev Yu.V., Yakubovich S.B. On the index transform
with the Whittaker function. Abstr. of the Internat. Conf. devoted 90-th
BirthDay of academician F.D. Gakhov. Minsk. P. 24 (in Russian).
75. Gusarevich L.D., Yakubovich S.B. On some
properties of kernels of the
index transforms. Abstr. of the Internat. Conf.
devoted 90-th BirthDay of academician F.D. Gakhov. Minsk. P. 30 (in
Russian).
76. Yakubovich S.B. Index transforms and the
convolution method.
Abstr. of the Internat. Conf. devoted 90-th BirthDay
of academician
F.D. Gakhov. Minsk. P. 115 (in Russian).
77. Yakubovich S.B. Index transforms and convolution
method.
Minsk. Abstr. Dr.Sc. thesis. 33 pp. (in
Russian).
78. Naoto S., Yakubovich S.B.,SaigoM.OntheLeibnizrules
involving fractional type integral operators.FukuokaSci.Reports.
Vol. 26, N 2, 63-78.
79. Yakubovich S.B., Gusarevich L.D. On the equation
with two convolutions.
Proc. of the Internat. Conf. devoted 90-th BirthDay of
academician
F.D. Gakhov. Minsk, 391-400.
1997
80. Raina R.K., Yakubovich S.B., Saigo M. On
convolution integrals associated with H-transforms. Journal of Fract. Calc.
Vol. 11, 53-65.
81. Yakubovich S.B., Saigo M. On the Mehler-Fock
Transform in
L_p-space. Math. Nachr. Vol. 185, 261-277.
82. Yakubovich S.B. Index integral transformations of
Titchmarsh type.
Journal of Comput. and Appl. Math.Vol. 85,
169-179.
83. Yakubovich S.B. Book review: A.I.Zayed, Function
and Generalized Function Transformations, CRC Press, Boca Raton, New York,
London, Tokyo. 1996. Journal of Approx. Theory. Vol. 90, 3, 462-463.
1998
84. Yakubovich S.B., De Graaf J. A class of index
transformations and
its relationship with orthogonal polynomials.
Abstracts of 33'd Dutch Math.
Congress. Enschede, April 17, p. 79.
85.Srivastava H.M.,Vasil'ev Yu.V. and Yakubovich S.B.
A class of index transforms with Whittaker's function as the kernel.
Quarterly Journal of Mathematics. Oxford (2), Vol. 49,
375-394.
86. Glaeske H.-J., Yakubovich S.B. On stabilizing the
inversion of some
Kontorovich-Lebedev's like integral transforms. ZAA.
Vol. 17, 3, 675-690.
87. Yakubovich, S.B., Gusarevich, L.D. On the
non-convolution
transformation with the Macdonald type kernel
function.
Fractional Calculus and Appl. Analysis. Vol. 1, 3, 297-309.
88. Boersma J., Yakubovich S.B. The asymptotic sum of
a Kapteyn series.
SIAM Rev. Vol. 40, 986-990.
1999
89. Yakubovich S.B., Fisher B. A class of index
transforms with
general kernels. Math. Nachr. Vol. 200, 165-182.
90. Yakubovich S.B. On the Lebedev type integral
transformations associated
with modified Bessel functions. Nieuw Arch. voor Wisk.
Vol. 17, N 2, 219-227.
91. Yakubovich S.B., De Graaf J. On Parseval
equalities and boundedness
propertiesforKontorovich-Lebedev type operators. Novi
Sad Journ. of
Math. Vol. 29, N 1, 185-205.
2000
92. Yakubovich S.B. The Kontorovich-Lebedev transform.
Kluwer Encycl. of Math. Suppl. II, 293-294.
93. Yakubovich S.B. The Lebedev-Skalskayatransform.
Kluwer Encycl. of Math. Suppl. II, 304-305.
94. Yakubovich S.B. The Mehler-Fock transform. Kluwer
Encycl. of Math.
Suppl. II, 344-345.
95. Yakubovich S.B. The Olevskii transform. Kluwer
Encycl. of Math.
Suppl. II, 370-371.
96. Yakubovich S.B. Index transforms. Kluwer Encycl.
of Math.
Suppl. II, 271-272.
97. Srivastava H.M., Vu Kim Tuan and Yakubovich S.B.
The Cherry transform and its relationship with a
singular
Sturm-Liouville problem. QJM, ,_ Vol. 51, 371-383.
98. Yakubovich S.B. The Titchmarsh integral transformation
by the index of
a Bessel function.JCAM (Special Issue), Vol. 118, 353-361.
99. Walter Van Assche, Yakubovich S.B. Multiple
orthogonal polynomials
associated with Macdonald functions. Integral
Transforms and Special Functions. Vol. 9, N 3, 229-244.
_
100. Yakubovich S.B., Yarotzkaya L.D. Integral
transformation associated
with the Macdonald type kernels. East-West J. Math.
Vol. 2, N 1.
101. Yakubovich S.B. On the Titchmarsh integral
transformation. Intern.
Kravchuk Conf. Kiev.
102. Yakubovich S.B., Yarotskaya L.D. On the Class of
W-transformations.
Tezisy Conf. 50-letiya prep. deyat. Prof. V.A.
Kakicheva. . Novgorod
Great, 255-256.
2001
103. Fisher B. and Yakubovich S. Results on the
non-commutative product of distributions.
_Radovi Matematicki Vol. 10, 85-93.
104. Yakubovich S.B. Foreword on the book by N.
Virchenko and I.Fedotova
"Generalized Associated Legendre Functions and
Their Applications", World Sci. Publ.
_Singapore. London. New Jersey. Hong Kong.
2002
105. Yakubovich S.B. On the index integral
transformation with Nicholson's
function as the kernel. J. Math. Anal. Appl. Vol. 269,
689-701.
106. B. Fisher, M. Telci and Yakubovich S.B. Results
on the sine integral and the neutrix
convolution. Radovi Matematicki, Vol. 10, N 2, 85-93.
107. Yakubovich S.B. Index transforms associated with
Bessel and Lommel
_functions._ Journ. of Anal. and Appl. Vol. 21,_ 627
-- 638.
108. B. Fisher, Yakubovich S.B., and M. Telci,
Convolutions
and neutrix convolutions in connection with the
incomplete Gamma
function. Radovi Mat._ Vol. 11, N 1.
109. Yakubovich S.B. Index transforms associated_ with
products_ of Whittaker's_ functions._ JCAM. Vol. 148,
419-427.
2003
110._ Yakubovich S.B. Integral transformations by the
index of Lommel's function.
Periodica Mathematica Hungarica,__ 46, (2), 223- 233.
111._ Yakubovich S.B. Integral transforms of the
Kontorovich-Lebedev convolution type.
Collect. Math._ 54, 2, 99-110.
112. Yakubovich, S.B. On the Kontorovich-Lebedev
transformation. Journ. of Integral
Equations and Appl.,__ 15, 1, 95-112.
113. Yakubovich,_ S.B. On the integral transformation
associated with the product
of gamma-functions. Portugalia Mathematica,_ 60, 3, 337- 351.
114._ Yakubovich,_ S.B. Boundedness and inversion
properties of certain
convolution_ transforms. Journ. of Korean Math. Soc._
40, 6._
115. Yakubovich,_ S.B. Convolution Hilbert spaces
associated with the Kontorovich-Lebedev
transformation. Thai Journ. of Math., 1, 2, 9-16.
2004
116. Yakubovich,_ S.B. Index transforms associated
with generalized hypergeometric
functions. Math. Methods in Appl. Sci.,_ 27, 1, 35-46.
117. Yakubovich, S.B. On a new index transformation
related to the product of Macdonald
functions._ Radovi. Matematicki. 13, N 1, 63-85.
118. Yakubovich,_ S.B. On the least values of Lp-norms
for the Kontorovich-Lebedev
transform and its convolution. Journal of
Approximation Theory, 131, 231-242.
119. Yakubovich,_ S.B. On the Lebedev transformation
in Hardy's spaces.
Intern. Journal of Math. and Mathem. Sciences, 66,
3603-36-16.
2005
120. Yakubovich,_ S.B. Lp-boundedness of general index
transforms. Liet. Mat. Rink._ Vol. 45, N 2, 127-147.
121. Yakubovich,_ S.B. The Kontorovich-Lebedev
transformation on
Sobolev type spaces. Sarajevo Journ. Mat. Vol. 1, N 2, 211-234.
122. Yakubovich,_ S.B. Analog of the Hausdorff-Young
theorem for the
Lebedev integral. Integral Transforms and Special
Functions._ Vol. 16, N 7, 597-607.
123. Yakubovich,_ S.B. A real inversion formula for the bilateral
Laplace transform.
Izv. NAN Armenii. Math. Vol. 40, N 3, 67-79.
2006
124. Yakubovich,_ S.B. The Plancherel and Hausdorff-Young
type theorems_ for an index transformation.
Journal for Analysis and its Application,_ Vol. 25,
193-204.
125. Yakubovich,_ S.B. On a testing-function space for distributions
associated with the Kontorovich-Lebedev transform.
Collect. Math., Vol. 57, N 3, 279-293.
126. Yakubovich,_ S.B. L2-boundedness of the Gamma-product transform. Liet. Mat. Rink.,_ Vol.
46, N 2, 285-297.
127. Yakubovich S.B. Certain isometries related to the
bilateral Laplace transform.
_ Mathematical Modeling and Analysis, Vol._ 11 (3), 331-346.
128. Yakubovich,_ S.B. A distribution_ associated with
the Kontorovich-Lebedev_
transform.
Opuscula Math., Vol. 26, N 1, 161-172._
129. Yakubovich,_ S.B. On the Plancherel theorem for
the Olevskii transform.
Acta_ Math.
Vietnamica, Vol. 31, N 3, 249-260.
2007
130. Yakubovich,_ S.B. and Britvina, L.E. A
convolution related to the inverse_ Kontorovich-Lebedev
transform. Sarajevo Journ. Of
Math., Vol. 3 (16), N 2, 215 - 232._
2008
131. Yakubovich,_ S.B. Integral Transforms of
Hypergeometric Functions. In: Coimbra Lecture Notes on Orthogonal
Polynomials. Nova Science
Publ., 81-100.
132. Yakubovich, S.B. L_2-interpretation of the Kontorovich-Lebedev
integrals. Intern. Journ. Pure and Appl. Math. Vol. 42,
N 1, 99- 110.
133. Abreu, L.D., Marcellan, F. and Yakubovich,
S.B. Hardy-type theorem for orthogonal functions with respect to their zeros.
The Jacobi weight case.
J. Math. Anal. Appl. Vol. 341, 803-812.
134._ Yakubovich,_ S.B. Asymptotic and summation
formulas related to the Lebedev _integrals._
Integral Transforms and Special Functions,_ Vol. 19, N
4, 293- 304.__
135. Yakubovich,_ S.B. Uncertainty principles for the
Kontorovich- Lebedev transform.
Mathematical Modelling and Analysis, Vol. 13, N 2,
289-302._
136._ Yakubovich, _S.B. On a progress in the
Kontorovich- Lebedev transform theory and related integral operators._
_____ Integral Transforms and Special Functions, Vol.
19, N 7, 509-534.
2009
137. Yakubovich,_ S.B. Beurling’s theorems and
inversion formulas for certain index transforms.
Opuscula Math., Vol. 29, N 1, 93-110.
138. Yakubovich,_ S.B. On the theory of convolution integral
equations related to Lebedev’s type operators.
Sarajevo Journ. Of
Math., Vol. 5 (17),_ 119-132.
139. Yakubovich,_ S.B. Sobolev type spaces associated with the
Kontorovich-Lebedev transform. _In: Proceedings of the 5th International ISAAC Congress
Catania, Italy, 25 – 30 July 2005. World Scientific Publ.: Singapore,
231-240.
140. Yakubovich, S.B._ Harmonic analysis of the_
Lebedev-Stieltjes integrals._ Asian-European Journ. of Math.,_ Vol. 2, N 2,
307-320.
141. Yakubovich, S.B._ A class of polynomials and
discrete transformations associated with the
Kontorovich-Lebedev operators._ Integral Transforms and Special
Functions,_ Vol. 20, N 7, 551-567.
142. Yakubovich,_ S.B. A double index transform with a product of Macdonald’s
functions revisited.
Opuscula Math., Vol. 29, N 3, 313-329.
143. Yakubovich,_ S.B. and Britvina, L.E. Convolution operators related to
the Fourier Cosine and Kontorovich-Lebedev
transformations.
Result. Math.,_ 55, 175-197.
144. Passian, A., Simpson, H. Kouchekian, S. and
Yakubovich,_ S.B. On the orthogonality of the MacDonald’s functions Journ.
of Math. Anal. And Appl.,_ Vol. 360, 380-390._
2010
145.__ Yakubovich,_ S.B. and Britvina, L.E.
Convolutions related to the Fourier_ and Kontorovich-Lebedev transforms
revisited. Integral Transforms and Special Functions,_ Vol.
21, N 4, 259- 276.
146. A. Passian, S. Koucheckian, S.B. Yakubovich and T.
Thundat,_ Properties of index transforms in modeling of nanostructures and
plasmonic systems. J. Math. Phys. Vol. 51,__ 023518.
147. Yakubovich, S. A class of integral equations and
index transformations related to the
modified and incomplete Bessel functions. Journal of Integral Equations and
Applications. Vol. 22, N 1, 141- 164.
148. Yakubovich, S. Eigenfunctions and
fundamental solutions of the fractional two-parameter Laplacian. International
Journal of Mathematics and Mathematical Sciences. Article ID 541934, pp. 18,
doi: 10.1155/2010/541934.
149. Yakubovich,_ S.B. On the
Watson L2-theory for index transforms I. Integral Transforms and Special
Functions,_ Vol. 21, N 5, 381- 397.
150. Yakubovich,
S.B. and Daher, R. An analog of Morgan’s theorem for the Kontorovich- Lebedev transform.
Advances in Pure and Applied Mathematics, Vol. 1, N 2, 159-162.
151. Vu Kim
Tuan and Yakubovich, S.B. Donoho-Stark
and Paley-Wiener theorems for the
G- transform. Advances in Applied Mathematics, Vol. 45, 108-124.
152. Ben Cheikh, Y. and Yakubovich, S. Generalized Fourier
transform associated with the differential operator D_z^n in the complex
domain. Integral Transforms and Special Functions, 2010, Vol.
21, N 7, 541- 555.
153.
Yakubovich, S.B. On the Watson L_2-theory for index
transforms II. Integral Transforms and Special Functions, 2010,
Vol. 21, N
9, 663-673.
2011
154.
Yakubovich, S.B. The heat kernel and Heisenberg inequalities
related to the Kontorovich-Lebedev transform, Communications
On Pure and Applied Analysis, Vol. 10, N 2, 745-760.
155. Yakubovich, S.B.
Multidimensional Kontorovich- Lebedev transforms, Integral
Transforms and Special Functions, Vol. 22, N 2, 123- 141.
156.
Yakubovich, S.B. and Vieira, N. A radial version of the
Kontorovich-Lebedev transform in the unit ball, Opuscula Math. Vol. 31, N 1,
137 - 146.
157.
Yakubovich,
S.B. The Fourier-Stieltjes transform of Minkowski's
? (x) function and an affirmative answer to Salem's problem, Comptes rendus – Mathématique, 349,
633-636.
158. Passian, A., Kouchekian, S. and Yakubovich, S.
Index integral representations and connection between cartesian,
cylindrical and spheroidal systems, Integral Transforms and Special Functions,
Vol. 22, N 8, 549-560.
159. Yakubovich, S. YaA general
class of Voronoi’s and Koshliakov–Ramanujan’s summation formulas involving dk(n), Integral Transforms
and Special Functions, Vol. 22, N 11, 801-821.
2012
160. M. Dalla
Riva and S. Yakubovich, On a Riemann–Liouville fractional
analog of the Laplace operator with positive energy, Integral
Transforms and Special Functions, Vol. 23, N 4, 277-295.
161. S.
Yakubovich, Corrigendum
to the Note “The Fourier–Stieltjes transform of Minkowskiʼs function and
an affirmative answer to Salemʼs problem” [C. R. Acad. Sci. Paris, Ser. I 349 (11–12) (2011) 633–636], C.R.
Acad. Sci. Paris, Ser. I 350, 147.
162. S. Yakubovich, Voronoi–Nasim summation formulas and
index transforms, Integral Transforms and Special Functions, 2012, Vol.
23, N 5, 369-388.
163. S.
Yakubovich, A new Kontorovich-Lebedev-like transformation,
Communications in Math. Analysis, Vol. 13, N 1, 86-99.
164. S.
Yakubovich, M. M. Rodrigues, Fundamental solutions of the fractional
two-parameter telegraph equation, Integral Transforms and Special Functions, Vol. 23, N 7,
509- 519;
165. S. Yakubovich,
An Index Integral and convolution operator related to the
Kontorovich-Lebedev and Mehler-Fock transforms, Complex Anal. Oper. Theory, N
6, 947–970;
2013
166. S.
Yakubovich, On some Rajchman measures and equivalent Salem’s problem.
Communications in Math. Analysis, Vol. 14, N 1, 28-41;
167. S.
Yakubovich and N. Vieira, The use of the Kontorovich–Lebedev transform in an
analysis of regularized Schrödinger equation. Integral
Transforms and Special Functions, Vol. 24, N 1, 9-22.
168. S. NAZARDONYAVI AND S.
YAKUBOVICH, ANOTHER PROOF OF
SPIRA’S INEQUALITY AND ITS APPLICATION
TO THE RIEMANN HYPOTHESIS, Journ.
of Math. Indequalities, Vol. 7,
N 2, 167-174.
169. M. M. Rodrigues, N. Vieira,
and S. Yakubovich, A Convolution
Operator Related to the Generalized Mehler–Fock and Kontorovich– Lebedev
Transforms, Results. Math. 63, 511–528.
170. M.M. Rodrigues,
N. Vieira and S. Yakubovich, Operational Calculus for Bessel’s Fractional
Equation, Operator Theory:
Advances and Applications, Vol.
229, 357–370.
171. S. Yakubovich, Voronoi-type summation formula involving σiτ(n)
and index transforms. Integral Transforms and Special
Functions, Vol. 24, N 2, 98-110.
172. Ana F. Loureiro and S. Yakubovich, Central factorials under the
Kontorovich–Lebedev transform of polynomials. Integral
Transforms and Special Functions, Vol. 24, N 3, 217-238.
173. S. Yakubovich,
A class of index transforms generated
by the Mellin and Laplace
operators. J. Math. Anal. Appl. Vol. 403,
333–343.
174. M. M. RODRIGUES and S. YAKUBOVICH, On a heat
kernel for the index Whittaker transform,
CARPATHIAN J. MATH.
Vol. 29, N . 2, 231 – 238.
175. S. Yakubovich,
On the Yor integral and a system of polynomials related to the
Kontorovich–Lebedev transform, Integral
Transforms and Special Functions, Vol. 24, No. 8, 672–683.
176. A.F.Loureiro, S.Yakubovich,
The Kontorovich-Lebedev transform as a map between d-orthogonal
polynomials. Stud. Appl. Math. Vol.
131, N 3, 229-265.
2014
177. A.F.Loureiro,
S.Yakubovich, On special cases of Boas–Buck type
polynomial sequences, In: Analytic Number Theory, Approximation Theory, and Special Functions,
(2014), Springer, 521-535.
178. Ana F. Loureiro, P. Maroni
and S. Yakubovich, On a polynomial sequence associated with the
Bessel operator,
Proc.
Amer. Math. Soc. 142 (2014),
467-482.
179. S. Nazardonyavi
and S. Yakubovich, Extremely
abundant numbers and the Riemann hypothesis, Journal
of Integer Sequences, Vol. 17 (2014),
Article 14.2.8.
180.
S. Yakubovich,
Integral and series transformations via Ramanujan’s identities and
Salem’s type equivalences to the Riemann hypothesis, Integral Transforms and Special Functions, Vol. 25, No. 4, 255-271.
. 181. S.
Yakubovich, On the iterated Stieltjes transform
and its convolution with applications to singular integral equations, Integral Transforms and Special Functions, Vol. 25, No. 5, 398-411.
182. N. VIEIRA AND S. YAKUBOVICH, Time-Dependent
Problems for a Wedge via Kontorovich-Lebedev’s Transform, Bull.
Malays. Math. Sci. Soc. (2) 37(3), 671–680.
183.
S. Yakubovich, The
Plancherel, Titchmarsh and convolution theorems for the half-Hartley transform,
Integral Transforms and Special Functions, Vol. 25, No. 10, 836-848.
184. S.
Yakubovich, Polynomial problems of the
Casas- Alvero type, Journ. of Classical Anal., Vol. 4, No. 2,
97-120.
185. S. Yakubovich, New inversion, convolution
and Titchmarsh’s theorems for the
half-Hilbert transform, Integral Transforms and Special Functions, Vol. 25, No. 12, 955-968.
186. S.
Yakubovich, ON THE HALF-HARTLEY TRANSFORM,
ITS ITERATION AND COMPOSITIONS WITH FOURIER TRANSFORMS,
JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, Vol. 26
(2014), N 4, 581-608.
2015
187. S. Yakubovich, Certain identities, connection and explicit
formulas for the Bernoulli and Euler numbers and the Riemann zeta-values. Analysis (Berlin) Vol. 35, no. 1, 59–71.
188. S. Yakubovich, On the generalized Lebedev index
transform, J. Math. Anal.
Appl. Vol. 429, 184-203.
189. S. Yakubovich, New summation and transformation
formulas of the Poisson, Müntz, Möbius and Voronoi type, Integral Transforms and Special Functions, Vol. 26, No. 10,
768–795.
190. S. Yakubovich, New index transforms with the product of Bessel functions, Integral Transforms and Special Functions, Vol. 26, No.
12, 939- 955.
2016
191. S. Yakubovich,
New index transforms of the Lebedev-Skalskaya type, Integral Transforms and Special Functions, Vol. 27, No. 2,
137-152.
192. S. Yakubovich, On some properties of the Abel–Goncharov polynomials
and the Casas-Alvero problem , Integral Transforms and Special Functions, Vol. 27, No. 8, 599-610.
193. S. Yakubovich,
Lebedev’s type index transforms with the modified Bessel functions, Comm. in Math. Analysis, Vol. 19, No.
2, 68-81.
194. S. Yakubovich, Index transforms with the squares of Bessel
functions, Integral Transforms and Special Functions, Vol. 27, No.
12, 981-994.
195. S. Yakubovich,
P. Drygas, V. Mityushev,
Closed-form evaluation of two-dimensional static lattice sums, Proc. R. Soc. A. Vol. 472, issue 2195.
2017
196. S. Yakubovich, On the generalized Dixon integral
equation. Intern. Journ. of Math. and
Comput. Vol. 28, N 1, 25-32.
197. M. Craddock, S. Yakubovich, New classes of non-convolution
integral equations arising from Lie symmetry analysis of hyperbolic PDEs. J.
Differential Equations, 263, no. 11, 7412–7447.
198. S. Yakubovich, Lebedev type
índex transforms with the squares of the associated Legendre
functions, Acta Math.,
Hungar., 153 (1), 57–74.
2018
199. H. Alzer, S. Yakubovich, Identities involving Bernoulli and Euler polynomials
. Integral
Transforms and Special Functions, Vol. 29, N 1,
43-61.
200. Yakubovich, S.; On the Weber integral
equation and solution to the Weber–Titchmarsh problem. J. Math. Anal. Appl. 460 , no. 1, 400–410.
201. S. Yakubovich,
Index transforms with Weber-type kernels. Integral Transforms and Special Functions,
Vol. 29, N 3, 171-188.
202. S. Yakubovich, On the curious series related to the elliptic integrals. The Ramanujan Journal, 45(3), 797-815.
203. R. Sousa, S. Yakubovich, THE
SPECTRAL EXPANSION APPROACH TO INDEX TRANSFORMS AND CONNECTIONS WITH THE THEORY
OF DIFFUSION PROCESSES. COMMUNICATIONS ON
PURE AND APPLIED ANALYSIS, Vol. 17, N 6,
2351- 2378.
2019
204. S.Yakubovich, On the Weber type integral
equation related to the Weber-Titchmarsh problem. Journal of Computational and
Applied Mathematics, Vol. 347, 150-155.
205. S.Yakubovich,
Index transforms with the squares of Kelvin functions, Integral Transforms and Special Functions, Vol.
30, N 3, 190- 204.
206. R. Sousa,
M. Guerra, S. Yakubovich, On
the product formula and convolution associated with the index Whittaker transform,
J. Math. Anal. Appl. Vol. 475, 939-965.
207. A. Khanna, A.Kotousov, S. Yakubovich, B. Zakavi, Asymptotic analysis of out-of-
plane strain and displacement fields at angular corners, International Journal of Solidsand Structures, Vol. 170, 111-
122.
208. S. Yakubovich, Index transforms with the
product of the associated Legendre functions,
Integral Transforms and Special Functions, Vol. 30, No. 9, 693-710.
209. S. Yakubovich,
On
the affirmative solution to Salem's problem.
Analysis (Berlin), 39, N 4, 135-149.
2020
210. S. Yakubovich,
Orthogonal
polynomials with the Prudnikov-type weights.
Complex Anal. Oper. Theory 14, no. 1, 1–27.
211. S. Yakubovich, Discrete Mehler-Fock transforms, Integral Transforms and
Special Functions, .31, N
8, 645–654.
2021
214. R. Sousa, M.
Guerra, S. Yakubovich, A unified construction of
product formulas and convolutions for Sturm-Liouville operators. Anal. Math. Phys. 11, N. 2, 87.
215.
S. Yakubovich, On the orthogonality and convolution orthogonality via the
Kontorovich-Lebedev transform. J. Comput. Appl. Math. 384, 17 pp.
216. S. Yakubovich, A method of
composition orthogonality and new sequences of orthogonal polynomials and
functions for non-classical weights.
J. Math. Anal. Appl. 499, no. 2, 25pp.
217.
R. Sousa, M. Guerra, S. Yakubovich, Lévy processes with respect
to the Whittaker convolution. Trans. Amer. Math. Soc. 374, no. 4, 2383–2419.
218. S. Yakubovich,
Discrete Kontorovich-Lebedev transforms. The
Ramanujan Journal, 55, 517-538.
219. S. Yakubovich, Discrete Lebedev’s índex transforms.
Rendiconti
del Circolo Matematico di Palermo Series 70, N 2, 1647–1656.
220.
S. Yakubovich, Discrete
Lebedev-Skalskaya transforms, Integral Transforms and Special
Functions, Vol. 32, N 11, 883-892.
221. S. Yakubovich, Discrete index transformations with Bessel
and Lommel functions. J.
Anal. 29 , N 4, 1421–1441.
222.
Discrete index Whittaker transforms. Results Math. 76, no. 2, Paper
No. 106, 10 pp.
2022
223. S.
Yakubovich, Discrete index transformations with squares of Bessel functions, Integral Transforms and
Special Functions, 33, N
2, 141-156.
224. S. Yakubovich, Discrete Fourier-Jacobi transform, Integral Transforms and Special
Functions, 33, N 3, 191-198.
225. S. Yakubovich, A modification of the Prudnikov
and Laguerre polynomials, Integral Transforms and Special Functions, 33, N 8, 668-681.
226. S. Yakubovich, Discrete
index transforms with Bessel and modified Bessel functions. Analysis (Berlin) 42, no. 3, 149–157.
227. S. Yakubovich, On
the theory of orthogonal polynomials for the weight xν exp (−x − t/x). I, Integral Transforms and
Special Functions,33,
N 9,
735-746.
228. S. Yakubovich, On
the theory of orthogonal polynomials for the weight xν exp (−x − t/x). II, Integral Transforms and
Special Functions,33,
N 11,
846-866.
229. S. Yakubovich,
Discrete orthogonal polynomials associated with
Macdonald functions.
The Ramanujan Journal, 59, 1147-1170.
2023
230.
H. Alzer, S. Yakubovich, Identities
for combinatorial sums involving trigonometric functions, Integral Transforms and
Special Functions, 34,
N 8,
563-569.
231. S. Yakubovich, Upper bounds and asymptotic expansion
for Macdonald's function and the summability of
the Kontorovich-Lebedev integrals, Integral Transforms and Special
Functions, 34, N 10, 721-736.
232. R. Sousa, M. Guerra, S. Yakubovich, Product formulas and convolutions for Laplace–Beltrami operators on
product spaces: beyond the trivial case. Math. Ann. 387, N 1-2, 879–926.
2015
205. 175.