A new transformation formula involving derived WP-bailey pair and its applications

DOI10.2298/FIL2013245ZOpenAlexW3149762129MaRDI QIDQ5081326

Hanfei Song, Jing Gu, Zhizheng Zhang

Publication date: 14 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil2013245z

zbMATH Keywords

Lambert seriesbasic hypergeometric seriesWP-Bailey pairconjugate WP-Bailey pair

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Theta series; Weil representation; theta correspondences (11F27) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Dedekind eta function, Dedekind sums (11F20) Numerical approximation and evaluation of special functions (33F05)

Cites Work

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• Elliptic well-poised Bailey transforms and lemmas on root systems
• A note on the Bailey transform, the Bailey pair and the WP Bailey pair and their applications
• The WP-Bailey Tree and its Implications
• Certain derived WP-bailey pairs and transformation formulas for q-hypergeometric series
• A new summation formula for WP-Bailey pairs
• A WP-Bailey lattice and its applications
• Identities of the Rogers-Ramanujan Type
• The basic analogue of Kummer’s theorem
• A NOTE ON CERTAIN q-IDENTITIES

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