Higher-order Bernoulli and poly-Bernoulli mixed type polynomials

TL;DR

This paper introduces higher-order Bernoulli and poly-Bernoulli mixed polynomials and derives new identities for them using umbral calculus, expanding the theoretical understanding of these special polynomials.

Contribution

It presents novel identities for higher-order Bernoulli and poly-Bernoulli mixed polynomials derived through umbral calculus techniques.

Findings

New identities for mixed Bernoulli and poly-Bernoulli polynomials

Application of umbral calculus to derive polynomial identities

Enhanced theoretical framework for special polynomial families

Abstract

In this paper, we consider higher-order Bernoulli and poly-Bernoulli mixed type polynomials and we give some interesting identities of those polynomials arising from umbral calculus.