Expansion Formulas for qseries 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 wellpoised 6φ5 summation formula The 1φ1 The conversion formula The 2φ2 The conversion formula 
CLC  O173 
Type  Master's thesis 
Year  2008 
Downloads  93 
Quotes  0 
From a wellknown 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 . }