Some identities of degeenrate ordered Bell polynomials and numbers arising from umbral calculus
Taekyun Kim, Dae san Kim
TL;DR
This paper explores properties and new identities of degenerate ordered Bell polynomials using umbral calculus, connecting them with degenerate Bernoulli and Euler polynomials.
Contribution
It introduces novel identities for degenerate ordered Bell polynomials derived through umbral calculus, linking them to other special polynomials.
Findings
Derived new identities for degenerate ordered Bell polynomials
Connected degenerate ordered Bell polynomials with Bernoulli and Euler polynomials
Enhanced understanding of properties of degenerate ordered Bell polynomials
Abstract
In this paper, we study degenerate ordered Bell polynomials with the viewpoint of Carlitz's degenerate Bernoulli and Euler polynomials and derive by using umbral calculus some properties and new identities for the degenerate ordered Bell polynomials associated with special polynomials.
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Taxonomy
TopicsAdvanced Mathematical Identities · Quantum Mechanics and Non-Hermitian Physics · Advanced Combinatorial Mathematics