Hermite polynomials related to Genocchi, Euler and Bernstein polynomials
Serkan Araci, Jong Jin Seo, Mehmet Acikgoz
TL;DR
This paper explores the relationships between Hermite, Genocchi, Euler, and Bernstein polynomials by leveraging Hermite polynomial orthogonality to uncover new properties of these classical polynomials.
Contribution
It introduces novel properties of Genocchi, Euler, and Bernstein polynomials derived through Hermite polynomial orthogonality, expanding understanding of their interconnections.
Findings
New properties of Genocchi, Euler, and Bernstein polynomials
Connections established via Hermite polynomial orthogonality
Enhanced understanding of polynomial relationships
Abstract
The objective of this paper is to derive some interesting properties of Genocchi, Euler and Bernstein polynomials by means of the orthogonality of Hermite polynomials.
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Taxonomy
TopicsAdvanced Mathematical Identities · Mathematical functions and polynomials · Advanced Combinatorial Mathematics