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Keywords = quadratic transformation contiguous to that of Kummer

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11 pages, 295 KB  
Article
On a Generalization of the Kummer’s Quadratic Transformation and a Resolution of an Isolated Case
by Mohamed Jalel Atia and Arjun Kumar Rathie
Axioms 2023, 12(9), 821; https://doi.org/10.3390/axioms12090821 - 27 Aug 2023
Cited by 6 | Viewed by 1773
Abstract
The resolution of isolated cases of the well-known quadratic transformation due to Kummer was thoroughly examined in two recent publications by Atia as well as Atia and Al-Mohaimeed. The objective of this paper is twofold. We establish generalizations of the quadratic transformation due [...] Read more.
The resolution of isolated cases of the well-known quadratic transformation due to Kummer was thoroughly examined in two recent publications by Atia as well as Atia and Al-Mohaimeed. The objective of this paper is twofold. We establish generalizations of the quadratic transformation due to Kummer in the most general case in the first section, and in the second section, an effort is made to discuss the resolution of an isolated case of a quadratic transformation contiguous to that of Kummer established by Choi and Rathie. Full article
(This article belongs to the Special Issue Recent Advances in Special Functions and Applications)
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