q-系列通过Bailey变换的一些新变换公式

IF 0.5 Q3 MATHEMATICS Advances in Pure and Applied Mathematics Pub Date : 2023-01-01 DOI:10.4236/apm.2023.1310045

Lijun Hao, Liangliang Xu

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引用次数: 0

摘要

在文献中，Bailey变换在基本超几何级数中有许多应用。本文利用贝利变换，导出了q级数的许多新的变换公式。同时，我们也得到了一些新的终止恒等式。此外，我们建立了一个与Rogers-Ramanujan身份对应的同伴身份，该身份由Slater列表上的数字(23)标记。

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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Some New Transformation Formulas for q-Series through the Bailey Transform

In the literature, the Bailey transform has many applications in basic hypergeometric series. In this paper, we derive many new transformation formulas for q-series by means of the Bailey transform. Meanwhile, We also obtain some new terminated identities. Furthermore, we establish a companion identity to the Rogers-Ramanujan identity labelled by number (23) on Slater’s list.

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