NDLI: Certain Applications of Generalized Kummer's Summation Formulas for$ _{2}F

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Certain Applications of Generalized Kummer's Summation Formulas for$ _{2}F_{1}$

Content Provider	MDPI
Author	Choi, Junesang
Copyright Year	2021
Description	We present generalizations of three classical summation formulas $2F1$ due to Kummer, which are able to be derived from six known summation formulas of those types. As certain simple particular cases of the summation formulas provided here, we give a number of interesting formulas for double-finite series involving quotients of Gamma functions. We also consider several other applications of these formulas. Certain symmetries occur often in mathematical formulae and identities, both explicitly and implicitly. As an example, as mentioned in Remark 1, evident symmetries are naturally implicated in the treatment of generalized hypergeometric series.
Starting Page	1538
e-ISSN	20738994
DOI	10.3390/sym13081538
Journal	Symmetry
Issue Number	8
Volume Number	13
Language	English
Publisher	MDPI
Publisher Date	2021-08-21
Access Restriction	Open
Subject Keyword	Symmetry Gamma Function Beta Function Psi Function Generalized Hypergeometric Function Pfq Summation Formulas for 2f1 and Pfq Transformation Formulas for 2f1 and Pfq Integral Formula for 2f1 Kampé De Fériet Function Laplace Transforms Inverse Laplace Transforms
Content Type	Text
Resource Type	Article

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