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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2021, Volume 61, Number 10, Page 1618
DOI: https://doi.org/10.31857/S0044466921100112 (Mi zvmmf11301) 		 
Ordinary differential equations

Generating functions involving the Fox–Wright functions

Khaled Mehrez

Departement de Mathematiques, Faculte de Sciences de Tunis, Universite Tunis El Manar, Tunis, Tunisia
DOI: https://doi.org/10.31857/S0044466921100112
Abstract: Our aim in this paper is to present several generating functions for some classes of functions associated to the Fox–Wright functions. In particular, certain generating functions for a class of function involving the Fox–Wright functions will be expressed in terms of the H-function of two variables are investigated. As applications, some generating functions associated to the generalized Mathieu type power series and the extended Hurwitz–Lerch zeta function are established. Furthermore, some new double series identity are considered.
Key words: Fox–Wright function, Fox $H$-function, hypergeometric function, Hurwitz–Lerch zeta function, generating functions.
Received: 12.12.2020
Revised: 12.12.2020
Accepted: 09.06.2021
English version:
Computational Mathematics and Mathematical Physics, 2021, Volume 61, Issue 10, Pages 1590–1602
DOI: https://doi.org/10.1134/S0965542521100092
Bibliographic databases:
Document Type: Article
UDC: 517.923
Language: Russian
Citation: Khaled Mehrez, “Generating functions involving the Fox–Wright functions”, Zh. Vychisl. Mat. Mat. Fiz., 61:10 (2021), 1618; Comput. Math. Math. Phys., 61:10 (2021), 1590–1602
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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