\(q\)-extensions of Dougall's bilateral \(_2H_2\)-series
type: Item
instance of: scholarly article
title: \(q\)-extensions of Dougall's bilateral \(_2H_2\)-series
zbMATH Open document ID: 1216.33030
published in: The Ramanujan Journal
publication date: 2011-05-27T00:00:00Z
Mathematics Subject Classification ID: 33D15
Mathematics Subject Classification ID: 05A30
zbMATH DE Number: 5900587
zbMATH Keywords: basic hypergeometric series
zbMATH Keywords: Bailey's well-poised bilateral \({}_{6} \psi_{6}\)-series
zbMATH Keywords: Rogers-Fine identity
zbMATH Keywords: Abel's lemma on summation by parts
author: Wenchang Chu
MaRDI profile type: Publication
full work available at URL: s11139-010-9247-0
OpenAlex ID: W2061743062
cites work: Ramanujan's ``lost'' notebook. II: Theta-function expansions
cites work: Q3023367
cites work: A q-EXTENSION OF CAUCHY'S FORM OF THE BETA INTEGRAL
cites work: Q4760447
cites work: SERIES OF HYPERGEOMETRIC TYPE WHICH ARE INFINITE IN BOTH DIRECTIONS
cites work: ON THE BASIC BILATERAL HYPERGEOMETRIC SERIES 2ψ2
cites work: Partial fractions and bilateral summations
cites work: Bailey's very well-poised \(_6\psi_6\)-series identity
cites work: Abel's lemma on summation by parts and basic hypergeometric series
cites work: Abel's method on summation by parts and well-poised bilateral \(_{5}\psi _{5}\)-series identities
cites work: Abel's method on summation by parts and theta hypergeometric series
cites work: Bilateral Bailey lemma and Rogers-Ramanujan identities
cites work: Partial sums of Bailey's6ψ6-series to faster convergent series
cites work: Q4040884
cites work: Some basic bilateral sums and integrals
cites work: An expansion formula for \(q\)-series and applications
cites work: A simple proof of Bailey's very-well-poised \({}_{6}\psi_{6}\) summation
cites work: Q5508372
cites work: Q3901719
DOI: 10.1007/S11139-010-9247-0
description: scientific article; zbMATH DE number 5900587