Bilateral Basic Hypergeometric Series: A Study

In the present work, certain transformations and summation formulae for basic bilateral hypergeometric series have been discussed. This study also gives the method of obtaining new transformations and summation formulae for basic bilateral hypergeometric series. Some of the applications have been mentioned.

On a New Summation Formula for Basic Bilateral Hypergeometric Series and Its Applications

We have obtained a new summation formula for bilateral basic hypergeometric series by the method of parameter augmentation and demonstrated its various uses leading to some development of etafunctions, -gamma, and -beta function identities.