ON AN INTERESTING EXTENSION OF KUMMER’S SECOND THEOREM WITH APPLICATIONS

Mohammed M. Awad; Asmaa O. Mohammed; Medhat A. Rakha; Arjun K. Rathie

doi:10.4134/CKMS.c200147

ON AN INTERESTING EXTENSION OF KUMMER’S SECOND THEOREM WITH APPLICATIONS

Mohammed M. Awad^*, Asmaa O. Mohammed, Medhat A. Rakha, Arjun K. Rathie

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

In this research paper, an attempt has been made to provide an interesting extension of the well-known and useful Kummer’s second theorem. Several applications have also been given.

Original language	English
Pages (from-to)	63-101
Number of pages	39
Journal	Communications of the Korean Mathematical Society
Volume	36
Issue number	1
DOIs	https://doi.org/10.4134/CKMS.c200147
Publication status	Published - 2021
Externally published	Yes

Keywords

Hypergeometric function
Kamp´e de F´eriet function
Kummer’s first and second theorems
double and triple series
generalized hypergeometric function

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.4134/CKMS.c200147

Cite this

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title = "ON AN INTERESTING EXTENSION OF KUMMER{\textquoteright}S SECOND THEOREM WITH APPLICATIONS",

abstract = "In this research paper, an attempt has been made to provide an interesting extension of the well-known and useful Kummer{\textquoteright}s second theorem. Several applications have also been given.",

keywords = "Hypergeometric function, Kamp´e de F´eriet function, Kummer{\textquoteright}s first and second theorems, double and triple series, generalized hypergeometric function",

author = "Awad, {Mohammed M.} and Mohammed, {Asmaa O.} and Rakha, {Medhat A.} and Rathie, {Arjun K.}",

note = "Publisher Copyright: {\textcopyright} 2021 Korean Mathematical Society",

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doi = "10.4134/CKMS.c200147",

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pages = "63--101",

journal = "Communications of the Korean Mathematical Society",

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AU - Mohammed, Asmaa O.

AU - Rakha, Medhat A.

AU - Rathie, Arjun K.

PY - 2021

Y1 - 2021

N2 - In this research paper, an attempt has been made to provide an interesting extension of the well-known and useful Kummer’s second theorem. Several applications have also been given.

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KW - Hypergeometric function

KW - Kamp´e de F´eriet function

KW - Kummer’s first and second theorems

KW - double and triple series

KW - generalized hypergeometric function

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ON AN INTERESTING EXTENSION OF KUMMER’S SECOND THEOREM WITH APPLICATIONS

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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