Euler number and polynomials of higher order

TL;DR

This paper explores higher-order Euler numbers and polynomials, introducing multiple zeta functions that interpolate these at negative integers, expanding the mathematical understanding of these special functions.

Contribution

It introduces multiple zeta functions that interpolate higher-order Euler polynomials and numbers at negative integers, a novel extension in the field.

Findings

Defined higher-order Euler numbers and polynomials.

Introduced multiple zeta functions interpolating these at negative integers.

Expanded the theoretical framework of special functions.

Abstract

In this paper we study the higher-order Euler numbers and polynomials and we introduce the mutiple zeta functions which interpolate higher-order Euler polynomials and numbers at negative integers