Certain generating functions for the quadruple hypergeometric series K₁₀

Praveen Agarwal, Jihad A. Younis and Taekyun Kim
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 25, 2019, Number 4, Pages 16–23
DOI: 10.7546/nntdm.2019.25.4.16-23
Full paper (PDF, 179 Kb)

Details

Authors and affiliations

Praveen Agarwal
Department of Mathematics, Harish-Chandra Research Institute (HRI)
Allahbad-211 019, UP, India

Jihad A. Younis
Department of Mathematics, Aden University
Aden, Yemen

Taekyun Kim
Department of Mathematics, College of Natural Science
Kwangwoon University, Seoul 139-704, South Korea

Abstract

In this work we aim at establishing certain generating relations, involving the Exton
function of four variables K₁₀. Some special cases of the main results here are also considered.

Keywords

• Laplace integral
• Quadruple hypergeometric series
• Generating functions

2010 Mathematics Subject Classification

• 33C50
• 33C56

References

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