Publications
Certain identities, connection and explicit formulas for the Bernoulli and Euler numbers and the Riemann zeta-values. Analysis (Berlin). 2015;35:59-71.
The heat kernel and Heisenberg inequalities related to the Kontorovich-Lebedev transform. Commun. Pure Appl. Anal.. 2011;10:745-760.
Some asymptotic expansions of special functions by their indices. Fukuoka Univ. Sci. Rep.. 1995;25:23-32.Edit
A class of integral equations and index transformations related to the modified and incomplete Bessel functions. J. Integral Equations Appl.. 2010;22:141-164.
A distribution associated with the Kontorovich-Lebedev transform. Opuscula Math.. 2006;26:161-172.
On the curious series related to the elliptic integrals. The Ramanujan Journal. 2018;45(3):797-815.
About a new class of integral transforms in Hilbert space. Math. Balkanica (N.S.). 1995;9:179-191.
Some classes of discrete transforms that are generated by matrix linear operators. Vests\=ı Akad. Navuk Belarus\=ı Ser. F\=ız. Mat. Navuk. 1992:20-25, 123.
On the class of Lebedev-Skalskaya type index transforms. Fukuoka Univ. Sci. Rep.. 1994;24:67-81.Edit
Beurling's theorems and inversion formulas for certain index transforms. Opuscula Math.. 2009;29:93-110.
On a new index transformation related to the product of Macdonald functions. Rad. Mat.. 2004;13:63-85.
A constructive method for constructing integral convolutions. Dokl. Akad. Nauk BSSR. 1990;34:588-591, 666.
The Titchmarsh integral transformation by the index of a Bessel function. J. Comput. Appl. Math.. 2000;118:353-361.
A Voronoi-type summation formula involving $\sigma_{\rm i\tau(n)$ and index transforms. Integral Transforms Spec. Funct.. 2013;24:98-110.
[2005-23] On the testing-function spaces for distributions associated with the Kontorovich-Lebedev transform .
[2012-30] On the Yor integral and a system of polynomials related to the Kontorovich-Lebedev transform .
An analog of Morgan's theorem for the Kontorovich-Lebedev transform. Adv. Pure Appl. Math.. 2010;1:159-162.Edit
Lebedev's type index transforms with the modified Bessel functions. Commun. Math. Anal.. 2016;19(2):68-81.
On the Mehler-Fock index transform in $L_p$-space. S\=urikaisekikenky\=usho Kōky\=uroku. 1994:130-144.Edit
A real inversion formula for the bilateral Laplace transform. Izv. Nats. Akad. Nauk Armenii Mat.. 2005;40:67-79.
Boundedness and inversion properties of certain convolution transforms. J. Korean Math. Soc.. 2003;40:999-1014.