Application of the method of Bonan-Clark to the generalized Hermite polynomials
Jes\'us A. \'Alvarez L\'opez, Manuel Calaza
TL;DR
This paper demonstrates how the Bonan-Clark method can be applied to derive optimal asymptotic estimates for generalized Hermite polynomials, advancing understanding of their behavior.
Contribution
It introduces a novel application of the Bonan-Clark method to generalized Hermite polynomials, establishing the optimality of the asymptotic estimates.
Findings
Asymptotic estimates for generalized Hermite polynomials are derived.
The estimates are proven to be optimal.
The Bonan-Clark method is effectively applied to this class of polynomials.
Abstract
It is shown that the method of Bonan-Clark can be used to prove asymptotic estimates for the generalized Hermite polynomials, showing also that these estimates are optimal.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Mathematical functions and polynomials · Advanced Mathematical Identities