Umbral calculus and Frobenius-Euler polynomials
Dae San Kim, Taekyun Kim
TL;DR
This paper explores properties of umbral calculus related to Appell sequences to derive new identities involving Frobenius-Euler polynomials, enhancing understanding of their algebraic structure.
Contribution
It introduces novel identities of Frobenius-Euler polynomials based on umbral calculus and Appell sequence properties, expanding theoretical knowledge.
Findings
Derived new identities of Frobenius-Euler polynomials
Connected umbral calculus with Appell sequences
Enhanced understanding of polynomial properties
Abstract
In this paper, we study some properties of umbral calculus related to Appell sequence. From those properties, we derive new and interesting identities of Frobenius-Euler polynomials.
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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Combinatorial Mathematics · Advanced Mathematical Theories and Applications