Dissertation > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Number Theory

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
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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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