Comments on "new hypergeometric identities arising from gauss's second summation theorem"

Medhat K. Rakha; Arjun K. Rathie; Purnima Chopra; Richard B. Paris

doi:10.18514/mmn.2012.359

Comments on "new hypergeometric identities arising from gauss's second summation theorem"

Medhat K. Rakha^*, Arjun K. Rathie, Purnima Chopra, Richard B. Paris

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Comment/debate › peer-review

Abstract

In 1997, Exton [J. Comput. Appl. Math. 88 (1997) 269-274] obtained a general transformation involving hypergeometric functions by elementary manipulation of series. A number of hypergeometric identities that had not been previously recorded in the literature were then deduced by application of Gauss' second summation theorem and other known hypergeometric summation theorems. However, some of the results stated by Exton contain errors. It is the purpose of this note to present the corrected forms of these hypergeometric identities. 2000 Mathematics Subject Classification: 33C20; 68Q40.

Original language	English
Pages (from-to)	87-89
Number of pages	3
Journal	Miskolc Mathematical Notes
Volume	13
Issue number	1
DOIs	https://doi.org/10.18514/mmn.2012.359
Publication status	Published - 2012

Keywords

Generalized hypergeometric series
Hypergeometric identities

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Numerical Analysis
Discrete Mathematics and Combinatorics
Control and Optimization

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abstract = "In 1997, Exton [J. Comput. Appl. Math. 88 (1997) 269-274] obtained a general transformation involving hypergeometric functions by elementary manipulation of series. A number of hypergeometric identities that had not been previously recorded in the literature were then deduced by application of Gauss' second summation theorem and other known hypergeometric summation theorems. However, some of the results stated by Exton contain errors. It is the purpose of this note to present the corrected forms of these hypergeometric identities. 2000 Mathematics Subject Classification: 33C20; 68Q40.",

keywords = "Generalized hypergeometric series, Hypergeometric identities",

author = "Rakha, {Medhat K.} and Rathie, {Arjun K.} and Purnima Chopra and Paris, {Richard B.}",

year = "2012",

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language = "English",

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T1 - Comments on "new hypergeometric identities arising from gauss's second summation theorem"

AU - Rakha, Medhat K.

AU - Rathie, Arjun K.

AU - Chopra, Purnima

AU - Paris, Richard B.

PY - 2012

Y1 - 2012

N2 - In 1997, Exton [J. Comput. Appl. Math. 88 (1997) 269-274] obtained a general transformation involving hypergeometric functions by elementary manipulation of series. A number of hypergeometric identities that had not been previously recorded in the literature were then deduced by application of Gauss' second summation theorem and other known hypergeometric summation theorems. However, some of the results stated by Exton contain errors. It is the purpose of this note to present the corrected forms of these hypergeometric identities. 2000 Mathematics Subject Classification: 33C20; 68Q40.

AB - In 1997, Exton [J. Comput. Appl. Math. 88 (1997) 269-274] obtained a general transformation involving hypergeometric functions by elementary manipulation of series. A number of hypergeometric identities that had not been previously recorded in the literature were then deduced by application of Gauss' second summation theorem and other known hypergeometric summation theorems. However, some of the results stated by Exton contain errors. It is the purpose of this note to present the corrected forms of these hypergeometric identities. 2000 Mathematics Subject Classification: 33C20; 68Q40.

KW - Generalized hypergeometric series

KW - Hypergeometric identities

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Comments on "new hypergeometric identities arising from gauss's second summation theorem"

Abstract

Keywords

ASJC Scopus subject areas

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