论文标题
单一和新的Hermite多项式家庭
Monomiality and a New Family of Hermite Polynomials
论文作者
论文摘要
在本文中,我们深入探讨了单一原理的表述和含义,并利用它来研究一组多项式的性质,这些多项式的性质渐近地降低到普通的两个可变的kampe de feriet家族。我们得出相关的微分方程,并讨论相关的正交性属性以及相关的广义形式。
In this article we go deeply into the formulation and meaning of the monomiality principle and employ it to study the properties of a set of polynomials, which, asymptotically, reduce to the ordinary two variable Kampe de Feriet family. We derive the relevant differential equations and discuss the associated orthogonality properties, along with the relevant generalized forms.