study will follow the work of Dr Clare Dunning and Professor Peter Clarkson on orthogonal polynomials and special functions.

这项研究将遵循克莱尔·邓宁博士和彼得·克拉克森教授在正交多项式和特殊函数方面的工作。

• 批准号: 2876144
• 金额: --
• 依托单位: University of Kent
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2022
• 资助国家: 英国
• 起止时间: 2022 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2876144
• 关键词: study; will; follow; work; Dr

Wronskian polynomials play a key role in certain solutions of the Painleve equations. The results have a multitude of applications, for example vortex dynamics, supersymmetric quantum mechanics, and solutions of the de-focusing nonlinearSchrodinger equation [6]. An overview of the applications of Wronskian Hermitepolynomials is provided in [1], including the theory of exceptional orthogonal polynomials, quantum harmonic oscillators, certain integrable massless quantum fieldtheory, and more. Applications of Wronskian polynomials motivates the need forfuture studies of their properties.

朗斯基多项式在 Painleve 方程的某些解中起着关键作用。结果具有多种应用，例如涡动力学、超对称量子力学以及离焦非线性薛定谔方程的解[6]。 [1] 中概述了朗斯基埃尔米特多项式的应用，包括例外正交多项式理论、量子谐振子、某些可积无质量量子场论等。朗斯基多项式的应用激发了对其性质的未来研究的需求。