A number of new transformation formulas for double hypergeometric series are presented. The series appearing here are the so-called Kamp~ de F6riet functions of type ,c'Β°:3;4(1 1) and Fl:Z;2tl 1). The transformation formulas relate such "1:1;2 \\*' \*0:2;2 \ ' double series to a single hypergeometri
A transformation formula for multiple hypergeometric series
β Scribed by L. Carlitz
- Publisher
- Springer Vienna
- Year
- 1967
- Tongue
- English
- Weight
- 161 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0026-9255
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π SIMILAR VOLUMES
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 formu
## 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__βClausen hypergeometric series are derived as consequences. Copyright Β© 2007 Jo
## A transformation formula is given for the generalized hypergeometric function in series of similar functions. It is also shown how easily this formula, can be applied to deduce various classes of summ&tion theorems for multiple hypergeometric series. The main results ( 12), ( 15) and ( 18) belo