涉及截断超几何数列的两个超级共轭关系

IF 1 3区数学 Q1 MATHEMATICS

Bulletin of the Malaysian Mathematical Sciences Society Pub Date : 2024-09-19 DOI:10.1007/s40840-024-01765-6

Wei Xia, Chen Wang

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引用次数: 0

摘要

本文主要利用一些超几何变换公式，建立了两个涉及截断超几何级数的超共假。第一个超公差证实了第二作者最近的一个猜想。第二个超公差部分证实了郭，刘和施洛瑟的猜想，并给出了龙和拉马克里希纳超公差的参数扩展。

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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Two Supercongruences Involving Truncated Hypergeometric Series

In this paper, we mainly establish two supercongruences involving truncated hypergeometric series by using some hypergeometric transformation formulas. The first supercongruence confirms a recent conjecture of the second author. The second supercongruence confirms a conjecture of Guo, Liu and Schlosser partially, and gives a parametric extension of a supercongruence of Long and Ramakrishna.

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来源期刊

Bulletin of the Malaysian Mathematical Sciences Society 数学-数学

CiteScore

2.40

自引率

8.30%

发文量

176

审稿时长

3 months

期刊介绍： This journal publishes original research articles and expository survey articles in all branches of mathematics. Recent issues have included articles on such topics as Spectral synthesis for the operator space projective tensor product of C*-algebras; Topological structures on LA-semigroups; Implicit iteration methods for variational inequalities in Banach spaces; and The Quarter-Sweep Geometric Mean method for solving second kind linear fredholm integral equations.