Some Families of Differential Equations Associated with Multivariate Hermite Polynomials

Fractal and Fractional

article

Badr Saad T. Alkahtani¹  Ibtehal Alazman²  Shahid Ahmad Wani³ 

[1] Department of Mathematics, College of Science, King Saud University;Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University;Department of Applied Sciences, Symbiosis Institute of Technology, Symbiosis International ,(Deemed University)

关键词: Hermite polynomials;    recurrence relation;    shift operators;    differential equations;    integral equation26A33;    33B10;    33C45;    45J05;    65Q30;   

DOI  :  10.3390/fractalfract7050390

学科分类：社会科学、人文和艺术（综合）

来源: mdpi

【 摘 要 】

In this article, the recurrence relations and shift operators for multivariate Hermite polynomials are derived using the factorization approach. Families of differential equations, including differential, integro–differential, and partial differential equations, are obtained using these operators. The Volterra integral for these polynomials is also discovered.

【 授权许可】

CC BY