Further Generalizations of the (A.2) and (H.2) Supercongruences of Van Hamme

IF 1.1 3区数学 Q1 MATHEMATICS

Results in Mathematics Pub Date : 2024-04-29 DOI:10.1007/s00025-024-02175-7

Hanfei Song, Chun Wang

引用次数: 0

Abstract

In this paper, in view of the transformation formulas for basic hypergeometric series and the creative microscoping method introduced by Guo and Zudilin, we establish new q-analogues of Van Hamme’s (A.2) and (H.2) supercongruences with two parameters

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范哈姆（A.2）和（H.2）超共融的进一步概括

在本文中，我们根据基本超几何级数的变换公式以及郭和祖迪林提出的创造性微观方法，建立了具有两个参数的 Van Hamme (A.2) 和 (H.2) 超共轭的新 q-analogues

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Results in Mathematics 数学-数学

CiteScore

1.90

自引率

4.50%

发文量

198

审稿时长

6-12 weeks

期刊介绍： Results in Mathematics (RM) publishes mainly research papers in all fields of pure and applied mathematics. In addition, it publishes summaries of any mathematical field and surveys of any mathematical subject provided they are designed to advance some recent mathematical development.