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一个非终止7F6-级数求和公式的q-模拟

A q-analogy of a nonterminating7F6-series summation
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摘要 利用"带余项的"Abel分部求和引理建立一个基本超几何级数变换,其可以看作一个已知非终止三次7F6-级数求和公式的q-模拟. The modified Abel lemma on summation by parts with a"remainder term"was employed to establish a nonterminating basic hypergeometric series transformation which can be seen as a q-analogy of a known 7F6-series summation formula.
作者 陈婷 王琛颖 CHEN Ting;WANG Chen-ying(School of Mathematics & Statistics,Nanjing University of Information Science & Technology,Nanjing 210044,China)
出处 《华东师范大学学报(自然科学版)》 CAS CSCD 北大核心 2019年第3期55-62,共8页 Journal of East China Normal University(Natural Science)
基金 国家自然科学基金(11601239) 山东省自然科学基金(ZR2017QA012)
关键词 基本超几何级数 一般超几何级数 三次超几何级数 Abel分部求和引理 basic hypergeometric series generalized hypergeometric series cubic hypergeometric series the Abel lemma on summation by parts
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