Abel’s lemma on summation by parts and partial q-series transformations
Abel’s lemma on summation by parts and partial q-series transformations作者机构：Department of Applied MathematicsDalian University of TechnologyDalian 116024China
出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)
年 卷 期：2009年第52卷第4期
页 面：720-748页
核心收录：
学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学]
基 金：supported by National Natural Science Foundation for the Youth (Grant No. 10801026)
主 题：Abel’s lemma on summation by parts basic hypergeometric series well-poised series quadratic series cubic series quartic series reciprocal relation 33D15 05A15
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.
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