华东师范大学学报（自然科学版） >

2019 , Vol. 2019 >Issue 3: 55 - 62

DOI: https://doi.org/10.3969/j.issn.1000-5641.2019.03.007

数学

一个非终止7F6级数求和公式的q-模拟

  • 陈婷 ,
  • 王琛颖
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  • 南京信息工程大学 数学与统计学院, 南京 210044
陈婷,女,硕士研究生,研究方向为组合数学.E-mail:tchen_nuist@163.com.

收稿日期: 2018-07-21

  网络出版日期: 2019-05-30

基金资助

山东省自然科学基金（ZR2017QA012）

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A q-analogy of a nonterminating 7F6-series summation

  • CHEN Ting ,
  • WANG Chen-ying
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  • School of Mathematics & Statistics, Nanjing University of Information Science & Technology, Nanjing 210044, China

Received date: 2018-07-21

  Online published: 2019-05-30

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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.

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

本文引用格式

陈婷 , 王琛颖 . 一个非终止7F6级数求和公式的q-模拟[J]. 华东师范大学学报（自然科学版）, 2019 , 2019(3) : 55 -62 . DOI: 10.3969/j.issn.1000-5641.2019.03.007

Abstract

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.

Key words： basic hypergeometric series; generalized hypergeometric series; cubic hypergeometric series; the Abel lemma on summation by parts

参考文献

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