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Expansion Formulas for q-series and Applications

Author: ChenYanHua
Tutor: LiuZhiGuo
School: East China Normal University
Course: Basic mathematics
Keywords: Basic hypergeometric series Bilateral and series Unilateral and series Dixon Theorem The form of power series expansion well-poised 6φ5 summation formula The 1φ1 The conversion formula The 2φ2 The conversion formula
CLC: O173
Type: Master's thesis
Year: 2008
Downloads: 93
Quote: 0
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From a well-known form of the power series expansion of f (b) , the certain unilateral and series of bilateral and Series conversion formula , including 6 φ 5 and 3 < / sub> ψ 3 < / sub> conversion formula 6 φ 5 and 5 < / sub > ψ 5 conversion formula , which gives the well - poised 6 φ 5 < / sub > Sum new proof of the formula . these conversion formulas limited form includes not only the famous theorem q- analog Dixon , also received a similar Dixon theorem q- analog formula using the power series expansion , we also get some classic summation formula 1 φ 1 and the conversion formula between 1 φ 1 < / sub > 2 φ 2 < / sub> and 2 < / sub> φ conversion formula between 2 .

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Infinite series of ( on the series )
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