EVALUATION OF CERTAIN EXOTIC $_3F_2$ (1)-SERIES

IF 0.8 2区数学 Q2 MATHEMATICS

Nagoya Mathematical Journal Pub Date : 2022-09-05 DOI:10.1017/nmj.2022.23

Marta Na Chen, W. Chu

引用次数: 1

Abstract

Abstract A class of exotic $_3F_2(1)$ -series is examined by integral representations, which enables the authors to present relatively easier proofs for a few remarkable formulae. By means of the linearization method, these $_3F_2(1)$ -series are further extended with two integer parameters. A general summation theorem is explicitly established for these extended series, and several sample summation identities are highlighted as consequences.

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一类奇异$ _3f_2 $(1)系的评价

摘要本文用积分表示法研究了一类奇异的$_3F_2(1)$ -级数，使作者对一些重要的公式给出了相对容易的证明。通过线性化方法，将这些$_3F_2(1)$ -级数进一步扩展为两个整数参数。对于这些扩展级数，明确地建立了一个一般的和定理，并强调了几个示例和恒等式作为结果。

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

Nagoya Mathematical Journal 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Nagoya Mathematical Journal is published quarterly. Since its formation in 1950 by a group led by Tadashi Nakayama, the journal has endeavoured to publish original research papers of the highest quality and of general interest, covering a broad range of pure mathematics. The journal is owned by Foundation Nagoya Mathematical Journal, which uses the proceeds from the journal to support mathematics worldwide.