Articles with "transformation formulas" as a keyword



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Some q-transformation formulas and Hecke type identities

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Published in 2019 at "International Journal of Number Theory"

DOI: 10.1142/s1793042119500751

Abstract: In this paper, we establish certain transformations on basic hypergeometric series. Some applications of these transformation formulas to Hecke type identities will be discussed. We also study other [Formula: see text]-series transformations that may lead… read more here.

Keywords: transformation formulas; type identities; formulas hecke; hecke type ... See more keywords
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Certain Derived WP-Bailey Pairs and Transformation Formulas for $q$-Hypergeometric Series

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Published in 2017 at "Filomat"

DOI: 10.2298/fil1714619s

Abstract: In this paper, several results involving the derived WP-Bailey pairs of sequences are established. Furthermore, by using these results, a number of transformation formulas for basic (or $q$-) hypergeometric series are derived. read more here.

Keywords: bailey pairs; derived bailey; hypergeometric series; transformation formulas ... See more keywords