22 citations · 67 across the 12 of their papers we have counts for
5 papers · 2 filters
On construction of transmutation operators for perturbed Bessel equations
Vladislav V. Kravchenko, Elina L. Shishkina, Sergii M. Torba
A representation for the kernel of the transmutation operator relating the perturbed Bessel equation with the unperturbed one is obtained in the form of a functional series with co…
The general form of the Euler--Poisson--Darboux equation and application of transmutation method
Elina L. Shishkina, Sergei M. Sitnik
In the paper we find solution representations in the compact integral form to the Cauchy problem for a general form of the Euler--Poisson--Darboux equation with Bessel operators vi…
On fractional powers of the Bessel operator on a semiaxis
S. M. Sitnik, E. L. Shishkina
In this paper we study fractional powers of the Bessel differential operator defined on a semiaxis. Some important properties of such fractional powers of the Bessel differential o…
Weighted spherical means generated by generalized translation and general Euler-Poisson-Darboux equation
Elina Shishkina
We consider the spherical mean generated by a multidimensional generalized translation and general Euler-Poisson-Darboux equation corresponding to this mean. The Asgeirsson propert…
On fractional powers of Bessel operators
E. L. Shishkina, S. M. Sitnik
This paper was published in the special issue of the Journal of Inequalities and Special Functions dedicated to Professor Ivan Dimovski's contributions to different fields of mathe…