Higher-order Cauchy of the first kind and poly-Cauchy of the first kind mixed type polynomials

TL;DR

This paper explores higher-order and poly-Cauchy polynomials of the first kind using umbral calculus, deriving new identities and formulas for these special polynomials.

Contribution

It introduces new identities and formulas for higher-order and poly-Cauchy polynomials of the first kind through umbral calculus techniques.

Findings

Derived new identities for higher-order Cauchy polynomials

Established formulas for poly-Cauchy polynomials of the first kind

Enhanced understanding of polynomial relationships via umbral calculus

Abstract

In this paper, we study higher-order Cauchy of the first kind and poly-Cauchy of the first kind mixed type polynomials with viewpoint of umbral calculus and give some interesting identities and formulae of those polynomials which are derived from umbral calculus.