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Some new q-series identities through an extended Bailey transform

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Abstract

In this note, a variety of new formulas for basic hypergeometric series will be derived by an application of a single Bailey-type transform to some q-series formulas which appeared recently in the literature.

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Acknowledgements

The author thanks Ole Warnaar for the comments and suggestions on an early version of the paper and for proposing a short proof for identity (6). The author is grateful to the referee for valuable comments and interesting suggestions which have improved the presentation and quality of the paper.

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Correspondence to Mohamed El Bachraoui.

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Bachraoui, M.E. Some new q-series identities through an extended Bailey transform. Ramanujan J 58, 747–769 (2022). https://doi.org/10.1007/s11139-021-00455-2

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