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Turkish Journal of Mathematics

Abstract

A nonterminating balanced $q$-series is examined by means of the modified Abel lemma on summation by parts that leads to $q$-analogues of five difficult identities for classical hypergeometric series, including three formulae conjectured by Gosper in 1977.

DOI

10.3906/mat-1906-15

Keywords

Abel's lemma on summation by parts, classical hyper geometric series, basic hyper geometric series, balanced series, bilateral series, the gamma function

First Page

791

Last Page

800

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Mathematics Commons

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