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.

 

 

 

 

 

 

 

2015

175.