电邮这篇文章 Infinite elliptic hypergeometric series: convergence and diffrence equations
- 作者: Krotkov D.I.1, Spiridonov V.P.2,1
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隶属关系:
- HSE University
- Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics
- 期: 卷 214, 编号 12 (2023)
- 页面: 106-134
- 栏目: Articles
- URL: https://journal-vniispk.ru/0368-8666/article/view/147930
- DOI: https://doi.org/10.4213/sm9874
- ID: 147930
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详细
We derive finite difference equations of infinite order for theta-hypergeometric series and investigate the space of their solutions. In general, such infinite series diverge, and we describe some constraints on the parameters when they do converge. In particular, we lift the Hardy-Littlewood criterion of the convergence of q-hypergeometric series for |q|=1, qn≠1, to the elliptic level and prove the convergence of infinite very-well poised elliptic hypergeometric r+1Vr-series for restricted values of q.
作者简介
Danil Krotkov
HSE University
Email: math-net2025_06@mi-ras.ru
Vyacheslav Spiridonov
Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics; HSE University
编辑信件的主要联系方式.
Email: math-net2025_06@mi-ras.ru
Doctor of physico-mathematical sciences, no status
参考
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