Generating functions involving the Fox-Wright functions

DOI10.1134/S0965542521100092zbMath1491.33010arXiv2001.04793OpenAlexW3199610956MaRDI QIDQ2245890

Khaled Mehrez

Publication date: 15 November 2021

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.04793

zbMATH Keywords

generating functionshypergeometric functionFox \(H\)-functionHurwitz-Lerch zeta functionFox-Wright function

Mathematics Subject Classification ID

Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Uses Software

• DLMF

Cites Work

• Generating functions for the generalized Gauss hypergeometric functions
• Some geometric properties of a class of functions related to the Fox-Wright functions
• Functional estimates and integral inequalities for the Fox-Wright function
• New integral representations for the Fox-Wright functions and its applications
• Orthogonality relations and generating functions for Jacobi polynomials and related hypergeometric functions
• Functional inequalities for the Fox-Wright functions
• New integral representations for the Fox-Wright functions and its applications. II
• New properties for several classes of functions related to the Fox-Wright functions
• Some families of generating functions for a certain class of three-variable polynomials
• The H-Function
• Certain Generating Functions of Several Variables
• Some families of generalized Mathieu-type power series, associated probability distributions and related inequalities involving complete monotonicity and log-convexity
• The Asymptotic Expansion of the Generalized Hypergeometric Function
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