A note on the generalized Euler numbers and polynomials

TL;DR

This paper explores symmetric properties of generalized Euler numbers and polynomials, providing new insights into their mathematical structure and potential applications.

Contribution

It introduces novel symmetric properties for generalized Euler numbers and polynomials, expanding understanding of their mathematical behavior.

Findings

Derived new symmetric identities for generalized Euler numbers.

Established properties that could influence future research in number theory.

Enhanced the theoretical framework of Euler polynomials.

Abstract

In this paper, we derive some interesting symmetric properties for the geenralized Euler numbers and polynomials.