A note on Hermite polynomials

2016/02/12 by Taekyun Kim, Kim, Taekyun, Dae San Kim +1
Mathematics · Physics and Astronomy · #05A19 #11B83 #33C45 #34A30 #FOS: Mathematics #Fractional Differential Equations Solutions #Mathematical functions and polynomials #Nonlinear Waves and Solitons #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1602.04096

openalex publication_date 2016/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider linear differential equations satisfied by the generating function for Hermite polynomials and derive some new identities involving those polynomials.

Related

• Generalized Hermite polynomials
• Higher-order Hermite numbers: Properties and applications to evolution problems
• Series with Hermite Polynomials and Harmonic Numbers
• A New Generating Function for Hermite Polynomials
• On the complex Hermite polynomials and partial differential equations