Abel’s lemma on summation by parts and partial q-series transformations  

作　　者：CHU WenChang WANG ChenYing 

机构地区：[1]Department of Applied Mathematics,Dalian University of Technology,Dalian 116024,China

出　　处：《Science China Mathematics》2009年第4期720-748,共29页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation for the Youth (Grant No. 10801026)

摘　　要：The partial sums of basic hypergeometric series are investigated by means of the modified Abel lemma on summation by parts. Several transformation and summation formulae for well-poised, quadratic, cubic and quartic q-series are established.The partial sums of basic hypergeometric series are investigated by means of the modified Abel lemma on summation by parts. Several transformation and summation formulae for well-poised, quadratic, cubic and quartic q-series are established.

关 键 词：Abel’s lemma on summation by parts basic hypergeometric series well-poised series quadratic series cubic series quartic series reciprocal relation 33D15 05A15 

分 类 号：O211.3[理学—概率论与数理统计]