Some New Identities of Genocchi Numbers and Polynomials involving Bernoulli and Euler polynomials

TL;DR

This paper introduces new identities involving Genocchi, Bernoulli, and Euler polynomials, providing novel formulas and applications that deepen understanding in the theory of analytic numbers.

Contribution

It presents new identities and formulas connecting Genocchi polynomials with Bernoulli and Euler polynomials, along with applications in analytic number theory.

Findings

Derived new identities for Genocchi polynomials

Established applications demonstrating properties in analytic number theory

Enhanced understanding of polynomial relationships in number theory

Abstract

In this paper, we will deal with some new formulae for two product Genocchi polynomials together with both Euler polynomials and Bernoulli polynomials. We get some applications for Genocchi polynomials. Our applications possess a number of interesting properties to study in Theory of Analytic numbers which we express in the present paper.