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M. Jackson’s bilateral 3 H 3-series and extension with integer parameters

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Abstract

A general transformation theorem is proved between nonterminating bilateral λ+3 H 3+λ -series. By applying it to M. Jackson’s 3 H 3-series, we then derive five bilateral summation formulae as consequences.

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Authors and Affiliations

  1. Department of Mathematics, East China Normal University, Shanghai, 200062, P.R. China

    Wenchang Chu

  2. Dipartimento di Matematica, Università del Salento, Lecce-Arnesano, P.O. Box 193, Lecce, 73100, Italy

    Wenchang Chu

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  1. Wenchang Chu
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Correspondence to Wenchang Chu.

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Chu, W. M. Jackson’s bilateral 3 H 3-series and extension with integer parameters. Ramanujan J 30, 243–255 (2013). https://doi.org/10.1007/s11139-012-9392-8

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  • DOI: https://doi.org/10.1007/s11139-012-9392-8

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