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

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。

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.