Semi-finite forms of bilateral basic hypergeometric series

DOI10.1090/S0002-9939-05-08173-6zbMath1085.33014arXivmath/0501242OpenAlexW1865256469MaRDI QIDQ3373694

Amy M. Fu, William Y. C. Chen

Publication date: 8 March 2006

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501242

zbMATH Keywords

Ramanujan's \(_1\psi_1\) summationBailley's \(_2\psi_2\) transformationsBailley's \(_6\psi_6\) summationbilateral hypergeometric summationsemi-finite forms

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic hypergeometric functions (33D99)

Related Items (8)

Two new transformation formulas of basic hypergeometric series ⋮ A note on semi-finite forms of the quintuple product identity ⋮ A short proof for Dougall's \(_2H_2\)-series identity ⋮ Some transformations on the bilateral series \(_2\psi_2\) ⋮ On the bilateral series \({}_5\psi_5\) ⋮ On the very-well-poised bilateral basic hypergeometric series ⋮ A symmetric formula for hypergeometric series ⋮ A semi-finite form of the quintuple product identity

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