Some identities of the generalized twisted Bernoulli numbers and polynomials of highert order

TL;DR

This paper derives new identities for higher order generalized twisted Bernoulli numbers and polynomials using properties of p-adic invariant integrals, expanding understanding of their algebraic structure.

Contribution

It introduces novel identities for generalized twisted Bernoulli numbers and polynomials of higher order based on p-adic integral properties, which were not previously known.

Findings

New identities for higher order generalized twisted Bernoulli numbers.

Relationships between these numbers and p-adic invariant integrals.

Enhanced algebraic understanding of Bernoulli polynomials.

Abstract

The purpose of this paper is to derive some identities of the higher order generalized twisted Bernoulli numbers and polynomials attached to $\chi$ from the properties of the p-adic invariant integrals.