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Abel’s method on summation by parts and nonterminatingq-series identities

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Abstract

Several transformation and summation formulae for nonterminating basic hypergeometric series are established through the modified Abel lemma on summation by parts.

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Author notes

  1. Wenchang Chu

    Present address: Dipartimento di Matematica, Università degli Studi di Lecce, LecceArnesano, P. O. Box 193, 73100, Lecce, Italy

Authors and Affiliations

  1. Department of Applied Mathematics, Dalian University of Technology, 116024, Dalian, P. R. China

    Wenchang Chu & Wenlong Zhang

Authors
  1. Wenchang Chu
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  2. Wenlong Zhang
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Correspondence to Wenchang Chu.

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Chu, W., Zhang, W. Abel’s method on summation by parts and nonterminatingq-series identities. Collect. Math. 60, 193–211 (2009). https://doi.org/10.1007/BF03191209

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  • DOI: https://doi.org/10.1007/BF03191209

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