p-adic invariant integral on Zp associated with the Changhee q-Bernoulli polynomials

TL;DR

This paper explores properties of Changhee's q-Bernoulli polynomials derived from p-adic invariant integrals on Zp, leading to new identities involving higher-order q-Bernoulli polynomials.

Contribution

It introduces new properties and identities of Changhee's q-Bernoulli polynomials using p-adic invariant integrals, expanding the understanding of their structure.

Findings

Derived properties of Changhee's q-Bernoulli polynomials.

Established identities related to higher-order q-Bernoulli polynomials.

Connected p-adic integrals with polynomial properties.

Abstract

In this paper, we study some properties of Changhee's q-Bernou lli polynomials which are derived from p-adic invariant integral on Zp. By using these properties, we give some interesting identities related to higher- order q-Bernoulli polynomials.