Generalized Eisenstein series and several modular transformation formulae
β Scribed by Sung-Geun Lim
- Publisher
- Springer US
- Year
- 2009
- Tongue
- English
- Weight
- 338 KB
- Volume
- 19
- Category
- Article
- ISSN
- 1382-4090
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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