华东师范大学学报（自然科学版） >

2022 , Vol. 2022 >Issue 6: 1 - 7

DOI: https://doi.org/10.3969/j.issn.1000-5641.2022.06.001

数学

一些涉及二重级数的q-同余式

  • 魏传安 ,
  • 余桐
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  • 海南医学院 生物医学信息与工程学院, 海口　571199
魏传安, 男, 教授, 研究方向为组合数学. E-mail: weichuanan78@163.com

收稿日期: 2021-01-14

  网络出版日期: 2022-11-22

基金资助

国家自然科学基金(12071103, 11661032)

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Several q-congruences on a double series

  • Chuan’an WEI ,
  • Tong YU
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  • School of Biomedical Information and Engineering, Hainan Medical University, Haikou　571199, China

Received date: 2021-01-14

  Online published: 2022-11-22

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摘要

二重级数的 $q$ -同余式是非常稀少的. 通过Watson的 ${}_8{\phi _7}$ 变换公式, 建立了一些涉及二重级数的 $q$ -同余式. 当 $q$ 趋向于1时, 其给出了相应的同余式结论.

关键词： 同余式; $q$-同余式; $q$-级数; Watson的${}_8{\phi _7}$变换公式

本文引用格式

魏传安 , 余桐 . 一些涉及二重级数的q-同余式[J]. 华东师范大学学报（自然科学版）, 2022 , 2022(6) : 1 -7 . DOI: 10.3969/j.issn.1000-5641.2022.06.001

Abstract

There are rare $q $ -congruences on double series in the literature. In this paper, we present several $q $ -congruences involving double series. When $q $ tends to 1, the proposed approach provides the corresponding conclusions for congruences.

Key words： congruence; $q$-congruence; $q$-series; Watson’s ${}_8{\phi _7}$ transformation formula

参考文献

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