On Mathieu-type series for the unified Gaussian hypergeometric functions-Reference-Cited by-同舟云学术

On Mathieu-type series for the unified Gaussian hypergeometric functions

Published:2020 Issue:1 Volume:14 Page:138-149
ISSN:1452-8630
Container-title:Applicable Analysis and Discrete Mathematics
language:en
Short-container-title:APPL ANAL DISCRETE M

Author:

Parmar Rakesh¹,Pogány Tibor²

Affiliation:

1. Department of Mathematics, University College of Engineering and Technology, Bikaner (Bikaner Technical University), Bikaner, Rajasthan, India

2. Faculty of Maritime Studies, University of Rijeka, Croatia Institute of Applied Mathematics, Óbuda University, Budapest, Hungary

Abstract

The main purpose of this paper is to present closed integral form expressions for the Mathieu-type a-series and for the associated alternating versions whose terms contain a generalized p-extended Gauss' hypergeometric function. Related bounding inequalities for the p-generalized Mathieu-type series are also obtained. Finally, a set of various (known or new) special cases and consequences of the results earned are presented.

Publisher

National Library of Serbia

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

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