q-Bernoulli polynomials and q-umbral calculus

TL;DR

This paper explores properties and identities of q-Bernoulli polynomials using q-umbral calculus, contributing to the understanding of their algebraic structure and relationships.

Contribution

It introduces new identities and properties of q-Bernoulli polynomials derived through q-umbral calculus techniques.

Findings

Derived new identities of q-Bernoulli polynomials.

Analyzed algebraic properties of q-Bernoulli polynomials.

Enhanced understanding of q-umbral calculus applications.

Abstract

In this paper, we investigate some properties of q-Bernoulli polynomi- als arising from q-umbral calculus. Finally, we derive some interesting identities of q-Bernoulli polynomials from our investigation.