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A new hypergeometric transformation of the Rathie–Rakha type

✍ Scribed by Djurdje Cvijović

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
208 KB
Volume
24
Category
Article
ISSN
0893-9659

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✦ Synopsis

A general transformation involving generalized hypergeometric functions has been recently found by Rathie and Rakha using simple arguments and exploiting Gauss's summation theorem. In this sequel to the work of Rathie and Rakha, a new hypergeometric transformation formula is derived by their method and by appealing to Gauss's second summation theorem. In addition, it is shown that the method fails to give similar hypergeometric transformations in the cases of the classical summation theorems of Kummer, Bailey, Watson and Dixon.

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