The Modified q-Euler numbers and polynomials

TL;DR

This paper introduces modified q-Euler numbers and polynomials, expanding on recent work, and derives numerous identities related to these new mathematical objects.

Contribution

It constructs modified q-Euler numbers and polynomials and establishes many new identities, advancing the understanding of q-analogs in number theory.

Findings

Introduction of modified q-Euler numbers and polynomials

Derivation of numerous identities involving these numbers

Extension of recent q-Euler number research

Abstract

In the recent paper the interesting q-Euler numbers and polynomials introduced in JMAA. The purpose of this paper is to construct the modified q-Euler numbers and polynomiasl. Finally we will give the interesting many identities related to these numbers and polynomials.