MATHEMATICS

Stankovich integral transforms of some special functions

F. G. Khushtova

Institute of Applied Mathematics and Automation, Nalchik

Abstract: In this paper, formulas for the integral Stankovich transforms of some elementary and special functions that are important in the theory of boundary value problems of mathematical physics are obtained. To prove the obtained formulas, integral representations, or expansions in power series, of the functions to which the transforms are applied are used.

Keywords: Stankovich transform, Wright function, special functions of mathematical physics

UDC: 517.44

Received: 29.11.2024
Revised: 06.12.2024
Accepted: 13.12.2024

DOI: 10.47928/1726-9946-2024-24-4-80-90

Bibliographic databases:

•