论某些赫克型数列

Q4 Mathematics New Zealand Journal of Mathematics Pub Date : 2020-03-13 DOI:10.53733/22

H. Chan, Zhi-Guo Liu

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引用次数: 7

摘要

约在 2004 年，J. Lovejoy 利用贝利对证明了三个赫克型数列等式。在本文中，我们利用 2013 年由 Z.G. Liu 发现的 q 系列变换公式证明了 Lovejoy 的等价性。我们还推导出了一些新的赫克型数列。我们的方法还允许我们推导出一些新的 Hecke 型等式。

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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On Certain Series of Hecke-Type

Around 2004, J. Lovejoy proved three Hecke-type series identities using Bailey pairs. In this article, we prove Lovejoy’s identities using transformation formulas for q-series discovered by Z.G. Liu in 2013. Some new Hecke-type series are also derived. Our approach also allows us to derive some new Hecke-type identities.

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