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

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
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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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