|
|||||
|
|
APPLICATIONS OF HYPERGEOMETRIC SUMMATION THEOREMS OF KUMMER AND DIXON INVOLVING DOUBLE SERIES |
|
| Authors: | H M SRIVASTAVA M I QURESHI Kaleem A QURAISHI Ashish ARORA |
| Abstract: | Using series iteration techniques, we derive a number of general double series identities and apply each of these identities in order to deduce several hypergeometric reduction formulas involving the Srivastava-Daoust double hypergeometric function. The results presented in this article are based essentially upon the hypergeometric summation theorems of Kummer and Dixon. |
| Keywords: | Pochhammer＇s symbol Gamma function series identities hypergeometric re-duction formulas Srivastava-Daoust double and multiple hypergeometric func-tions Legendre＇s duplication formula Gauss-Legendre multiplication formula Kummer＇s theorem Dixon＇s theorem |
| 本文献已被 CNKI 维普 等数据库收录！ | |