Abel's method on summation by parts and theta hypergeometric series

DOI10.1016/j.jcta.2007.11.002zbMath1154.33008OpenAlexW1980909730MaRDI QIDQ942171

Cangzhi Jia, Chu, Wenchang

Publication date: 4 September 2008

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2007.11.002

zbMATH Keywords

Abel's lemma on summation by partsBailey's transformation on terminating very-well-poised \(_{10}{}_\phi{}_9{}\)-seriesfundamental Frenkel-Turaev identitymodified Jacobi theta functiontheta (elliptic) hypergeometric seriesWeierstrass' three-term relation

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items

Quartic theta hypergeometric series ⋮ A series evaluation technique based on a modified Abel lemma ⋮ \(q\)-extensions of Dougall's bilateral \(_2H_2\)-series ⋮ Accelerating Dougall’s $_5F_4$-sum and infinite series involving $\pi $

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