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Two Transform Formulas of Bilateral Basic Hypergeometric Series and Their Applications

Author: MaoJiaZuo
Tutor: LiuZhiGuo
School: East China Normal University
Course: Basic mathematics
Keywords: Ramanujan’s 1ψ1 summation formula contour integration Heine’s transformation formula of 2φ1 q-analogue
CLC: O156
Type: Master's thesis
Year: 2010
Downloads: 27
Quote: 0
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Abstract


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.

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