Some identities arising from Sheffer sequences for the powers of Sheffer pairs under umbral composition
Dae San Kim, Taekyun Kim
TL;DR
This paper investigates properties of Sheffer sequences related to powers of Sheffer pairs under umbral composition, deriving new identities for special polynomials.
Contribution
It introduces novel properties and identities of Sheffer sequences for powers of Sheffer pairs under umbral composition.
Findings
Derived new identities for Sheffer sequences
Analyzed properties of Sheffer sequences under umbral composition
Established connections between Sheffer sequences and special polynomials
Abstract
In this paper, we study some properties of Sheffer sequences for the powers of Sheffer pairs under umbral composition. From our properties we derive new and interesting identities of Sheffer sequences of special polynomials for the powers of Sheffer pairs under umbral composition.
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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Combinatorial Mathematics · Coding theory and cryptography