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ABEL'S METHOD ON SUMMATION BY PARTS AND BILATERAL WELL-POISED 3ψ3-SERIES IDENTITIES

    https://doi.org/10.1142/9789812770752_0061Cited by:2 (Source: Crossref)
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    Abstract:

    By means of Abel's lemma on summation by parts, two functional equations with an extra integer parameter m will be established for Bailey's bilateral well-poised 3ψ3-series. Their limiting cases lead us directly to Bailey's non-terminating bilateral well-poised 3ψ3-series identities.

    AMSC: Primary 33D15, Secondary 05A30