Euler-type integral representations for the Kampé de Fériet functions.

Autor: Ergashev, Tuhtasin G., Hasanov, Anvardjan, Yuldashev, Tursun K.
Předmět:
Zdroj: Journal of Mathematical Sciences; Feb2024, Vol. 279 Issue 1, p22-36, 15p
Abstrakt: In this paper, the Kampé de Fériet functions of arbitrary orders and their Euler-type integral representations are studied. The general form of the integral representations for a Kampé de Fériet function are proved. Conditions, under which these representations are expressed in terms of products of two gen-eralized hypergeometric functions, are found. Examples are identified in which the integral representation of the Kampé de Fériet function contains an elementary function or a known second-order hypergeometric function of two variables. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index