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On some new Gaussian hypergeometric summation formulae with applications
Abstract
The aim of this note is to provide some new Gaussian hypergeometric summation formulae. These are further used to obtain certain new expressions for the product of hypergeometric series. Already obtained results by Bailey, Choi and Rathie and Qureshi et al. follow special cases of our main ndings.
Key words: Bailey's results, Gaussian hypergeometric function 2F1, summation formulae.