A note on Hermite polynomials
Taekyun Kim, Dae San Kim
TL;DR
This paper explores differential equations related to Hermite polynomial generating functions, deriving new identities and expanding understanding of their mathematical properties.
Contribution
It introduces novel identities for Hermite polynomials through analysis of their generating functions and associated differential equations.
Findings
New identities involving Hermite polynomials
Differential equations satisfied by generating functions
Enhanced understanding of Hermite polynomial properties
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.
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Taxonomy
TopicsMathematical functions and polynomials · Fractional Differential Equations Solutions · Nonlinear Waves and Solitons