On a reducibility of the Kampé de Fériet function

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

doi:10.1002/mma.3245

On a reducibility of the Kampé de Fériet function

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

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

The main objective of this research note is to provide an interesting result for the reducibility of the Kampé de Fériet function. The result is derived with the help of two results for the terminating ₃F₂ series very recently obtained by Rakha et al. A few interesting special cases have also been given.

Original language	English
Pages (from-to)	2600-2605
Number of pages	6
Journal	Mathematical Methods in the Applied Sciences
Volume	38
Issue number	12
DOIs	https://doi.org/10.1002/mma.3245
Publication status	Published - Aug 1 2015
Externally published	Yes

Keywords

Kampé de Fériet function, Kummer second summation theorem
generalized hypergeometric function

ASJC Scopus subject areas

Mathematics(all)
Engineering(all)

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10.1002/mma.3245

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abstract = "The main objective of this research note is to provide an interesting result for the reducibility of the Kamp{\'e} de F{\'e}riet function. The result is derived with the help of two results for the terminating 3F2 series very recently obtained by Rakha et al. A few interesting special cases have also been given.",

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

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AU - Rakha, Medhat A.

AU - Awad, Mohammed M.

AU - Rathie, Arjun K.

PY - 2015/8/1

Y1 - 2015/8/1

N2 - The main objective of this research note is to provide an interesting result for the reducibility of the Kampé de Fériet function. The result is derived with the help of two results for the terminating 3F2 series very recently obtained by Rakha et al. A few interesting special cases have also been given.

AB - The main objective of this research note is to provide an interesting result for the reducibility of the Kampé de Fériet function. The result is derived with the help of two results for the terminating 3F2 series very recently obtained by Rakha et al. A few interesting special cases have also been given.

KW - Kampé de Fériet function, Kummer second summation theorem

KW - generalized hypergeometric function

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On a reducibility of the Kampé de Fériet function

Abstract

Keywords

ASJC Scopus subject areas

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