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Two Transform Formulas Of Bilateral Basic Hypergeometric Series And Their Applications

Posted on:2011-08-06Degree:MasterType:Thesis
Country:ChinaCandidate:J H MaoFull Text:PDF
GTID:2120360305499427Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
In this paper, two transformation formula of bilateral basic hy-pergeometric series is obtained by using Ramanujan's 1Ψ1 summa-tion formula, quintuple product identity and contour integration, then some formula and equation of q-series, like Heine's famous transfor-mation formula of 2φ1, Bailey's transformation formula of 2Ψ2 and a q-analogue of Dougall's 2H2-sum, are derived from one of the two formulas,and get 35 equal formula of the main formula through Heine 2φ1transformation formula.
Keywords/Search Tags:Ramanujan's 1ψ1 summation formula, contour integration, Heine's transformation formula of 2φ1, q-analogue
PDF Full Text Request
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