Some identities of symmetry for q-Euler polynomials under the symmetric group of degeree n arising from fermionic p-adic q-integrals on Zp

TL;DR

This paper derives new symmetric identities for q-Euler polynomials using fermionic p-adic q-integrals, revealing underlying symmetries related to the symmetric group of degree n.

Contribution

It introduces novel symmetric identities for q-Euler polynomials based on fermionic p-adic q-integrals, expanding the understanding of their algebraic properties.

Findings

New symmetric identities for q-Euler polynomials derived

Identities related to the symmetric group of degree n

Connections established via fermionic p-adic q-integrals

Abstract

In this paper, we investigate some new symmetric identities for the q-Euler polynomials under the symmetric group of degree n which are derived from fermionic p-adic q-integrals on Zp.