Some transformations on the bilateral series \(_2\psi_2\)

DOI10.1216/RMJ-2014-44-5-1697zbMath1320.33028OpenAlexW2077961001MaRDI QIDQ485893

Zeya Jia, Zhizheng Zhang

Publication date: 14 January 2015

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1420071563

zbMATH Keywords

basic hypergeometric seriesbilateral series\(q\)-Gauss summation formulaBailey-Daum summation formulaunilateral series

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic hypergeometric integrals and functions defined by them (33D60)

Cites Work

• On the very-well-poised bilateral basic hypergeometric series
• Another proof of Bailey's \({}_6\psi_6\) summation
• Semi-finite forms of bilateral basic hypergeometric series
• A basic bilateral series summation formula and its applications
• SERIES OF HYPERGEOMETRIC TYPE WHICH ARE INFINITE IN BOTH DIRECTIONS
• ON THE BASIC BILATERAL HYPERGEOMETRIC SERIES ₂ψ₂
• GENERAL TRANSFORMATIONS OF BILATERAL SERIES
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