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Certain summation and transformation formulas for generalized hypergeometric series

✍ Scribed by Allen R. Miller

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
487 KB
Volume
231
Category
Article
ISSN
0377-0427

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✦ Synopsis

We derive summation formulas for generalized hypergeometric series of unit argument, one of which upon specialization reduces to Minton's summation theorem. As an application we deduce a reduction formula for a certain KampΓ© de FΓ©riet function that in turn provides a Kummer-type transformation formula for the generalized hypergeometric function p F p (x).

πŸ“œ SIMILAR VOLUMES

Transformation and reduction formulae fo
Transformation and reduction formulae for double q-Clausen hypergeometric series
✍ Wenchang Chu; Cangzhi Jia πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 172 KB

## Abstract By means of the Sears transformations, we establish eight general transformation theorems on bivariate basic hypergeometric series. Several transformation, reduction and summation formulae on the double __q__‐Clausen hypergeometric series are derived as consequences. Copyright Β© 2007 Jo