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

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

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：qaz1164

【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

【作 者】

：

WenChang Chu (1)  ChenYing W 

【机 构】

：

1.DepartmentofAppliedMathematics

【出 处】

：

中国科学：数学英文版

【发表日期】

：

2009年4期

【关键词】

：

Abel’s lemma on SUMMATION by PARTS basic HYPERGEOMETRIC SERIES well-poised SERIE 

【基金项目】

：

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

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论文部分内容阅读

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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