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。结果有许多应用，例如涡旋动力学，超对称量子力学和解的散焦非线性薛定谔方程[6]。文[1]中对朗斯基厄米多项式的应用进行了概述，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它们性质的进一步研究。