Poisson-Charlier and poly-Cauchy mixed type polynomials
Dae San Kim, Taekyun Kim
TL;DR
This paper introduces and explores identities of Poisson-Charlier and poly-Cauchy mixed type polynomials using umbral calculus, expanding the mathematical understanding of these special functions.
Contribution
It presents new identities for Poisson-Charlier and poly-Cauchy mixed polynomials derived through umbral calculus, a novel approach for these functions.
Findings
Derived various identities of the mixed polynomials
Applied umbral calculus to analyze polynomial properties
Enhanced understanding of special polynomial relationships
Abstract
In this paper, we consider Poisson-Charlier and poly-Cauchy mixed type polynomials and give various identities of those polynomials which are derived from umbral calculus.
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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Combinatorial Mathematics · Analytic Number Theory Research