A. V. Glushak, “Operator hypergeometric functions”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2020, Volume 174,Pages <nobr>37

This article is cited in 1 paper

Operator hypergeometric functions

A. V. Glushak

National Research University "Belgorod State University"

Abstract: We consider operator hypergeometric functions ${_1}F_2(\cdot)$ and ${_2}F_3(\cdot)$ constructed by an unbounded operator. Using these functions, we solve Cauchy problems for singular integro-differential equations. A new pair of similar operators is given.

Keywords: transformation operator, Bessel operator function, Bessel–Struve operator function, operator hypergeometric function, integro-differential equation.

UDC: 517.983.23

MSC: 34G10

DOI: 10.36535/0233-6723-2020-174-37-45