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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
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
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
Linking options:
https://www.mathnet.ru/eng/zvmmf11301 https://www.mathnet.ru/eng/zvmmf/v61/i10/p1618
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Abstract page: | 47 |
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