On the q-Euler numbers and polynomials with weight 0

TL;DR

This paper explores properties and identities of q-Euler numbers and polynomials with weight 0, enhancing understanding of their mathematical structure and relationships.

Contribution

It introduces new identities and properties of q-Euler numbers and polynomials with weight 0, expanding the theoretical framework of these special functions.

Findings

Derived new identities for q-Euler numbers with weight 0

Established properties of q-Euler polynomials with weight 0

Enhanced the theoretical understanding of q-Euler numbers

Abstract

The purpose of this paper is to investigate some properties of q-Euler numbers and polynomials with weight 0. From those q-Euler numbers with weight 0, we derive some identities on the q-Euler numbers and polynomials with weight 0.