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JOURNALS // Chelyabinskiy Fiziko-Matematicheskiy Zhurnal // Archive

Chelyab. Fiz.-Mat. Zh., 2023 Volume 8, Issue 2, Pages 203–211 (Mi chfmj323)

This article is cited in 1 paper

Mathematics

On some properties of a Fox function

F. G. Khushtova

Institute of Applied Mathematics and Automation, Nalchik, Russia

Abstract: A partial case of a special Fox function is considered. Integral representation, power series representation, and asymptotic formulas are written out. The formulas of differentiation of the integer order, recurrent and integral relations are proved.

Keywords: Fox function, integral representation, asymptotics, recurrent relation, differentiation formula.

UDC: 517.58

Received: 14.10.2022
Revised: 14.06.2023

DOI: 10.47475/2500-0101-2023-18204



© Steklov Math. Inst. of RAS, 2026