Some new identities of Rogers-Ramanujan type

IF 1.2 4区数学 Q1 MATHEMATICS

Acta Mathematica Scientia Pub Date : 2023-11-29 DOI:10.1007/s10473-024-0106-2

Jing Gu, Zhizheng Zhang

引用次数: 0

Abstract

In this paper, we establish two transformation formulas for nonterminating basic hypergeometric series by using Carlitz’s inversions formulas and Jackson’s transformation formula. In terms of application, by specializing certain parameters in the two transformations, four Rogers-Ramanujan type identities associated with moduli 20 are obtained.

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罗杰斯-拉马努金型的几个新恒等式

本文利用Carlitz的反演公式和Jackson的变换公式，建立了两个非定值的基本超几何级数的变换公式。在应用方面，通过对这两个变换中的某些参数进行专门化，得到了与模20相关的四个Rogers-Ramanujan型恒等式。

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

Acta Mathematica Scientia 数学-数学

CiteScore

2.00

自引率

10.00%

发文量

2614

审稿时长

6 months

期刊介绍： Acta Mathematica Scientia was founded by Prof. Li Guoping (Lee Kwok Ping) in April 1981. The aim of Acta Mathematica Scientia is to present to the specialized readers important new achievements in the areas of mathematical sciences. The journal considers for publication of original research papers in all areas related to the frontier branches of mathematics with other science and technology.