关于广义弗洛伊德权重的多项式正交渐近学,应用于潘列韦-IV 的特殊函数解

IF 2.3 2区 数学 Q1 MATHEMATICS, APPLIED Studies in Applied Mathematics Pub Date : 2024-07-25 DOI:10.1111/sapm.12738
Ahmad Barhoumi
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引用次数: 0

摘要

我们得到了满足正交关系的多项式的渐近公式,其中复参数位于所谓的两切区域。作为应用,我们推导出了 Painlevé-IV 解的某些族的渐近公式,这些解以非负整数为索引,可以用抛物柱面函数来写。证明基于黎曼-希尔伯特问题的正交多项式特征和 Deift-Zhou 非线性最陡下降法。
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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Asymptotics of polynomials orthogonal with respect to a generalized Freud weight with application to special function solutions of Painlevé-IV

We obtain asymptotics of polynomials satisfying the orthogonality relations

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来源期刊
Studies in Applied Mathematics
Studies in Applied Mathematics 数学-应用数学
CiteScore
4.30
自引率
3.70%
发文量
66
审稿时长
>12 weeks
期刊介绍: Studies in Applied Mathematics explores the interplay between mathematics and the applied disciplines. It publishes papers that advance the understanding of physical processes, or develop new mathematical techniques applicable to physical and real-world problems. Its main themes include (but are not limited to) nonlinear phenomena, mathematical modeling, integrable systems, asymptotic analysis, inverse problems, numerical analysis, dynamical systems, scientific computing and applications to areas such as fluid mechanics, mathematical biology, and optics.
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