Sheffer sequences of polynomials and their applications
Taekyun Kim, Dae San Kim, Seog-Hoon Rim, Dmitry V. Dolgy
TL;DR
This paper explores properties of Sheffer sequences of polynomials derived from umbral calculus, leading to new identities and insights into their structure.
Contribution
It introduces new properties and identities of Sheffer polynomial sequences using umbral calculus techniques.
Findings
Derived new identities for Sheffer sequences.
Established properties linking Sheffer sequences and umbral calculus.
Provided applications of these identities in polynomial theory.
Abstract
In this paper, we investigate some properties of several Sheffer sequences of several polynomials arising from umbral calculus. From our investigation, we can derive many interesting identities of several polynomials
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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Combinatorial Mathematics · Advanced Mathematical Theories and Applications