On certain transformations of poly-basic bilateral hypergeometric series

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摘要

In this paper, we have established certain transformations of basic hypergeometric series with more than one base. Some of these lead to the relationship between product of two q-series. These results, in turn, lead to very interesting transformations of bi-basic and poly-basic q-series. A few of the results which are representative of the many results obtained are presented in this article.

论文关键词:Bi-basic,Poly-basic,q-series,Hypergeometric series/function,Transformation,Bilateral hypergeometric series

论文评审过程:Received 30 September 2002, Revised 16 April 2003, Available online 13 September 2003.

论文官网地址:https://doi.org/10.1016/S0377-0427(03)00615-0