Some identities of degenerate Euler polynomials associated with degenerate Bernstein polynomials

TL;DR

This paper explores properties and identities of degenerate Euler polynomials linked to degenerate Bernstein polynomials, utilizing fermionic p-adic integrals and generating functions to deepen understanding of their mathematical relationships.

Contribution

It introduces new identities and properties connecting degenerate Euler and Bernstein polynomials through advanced integral and generating function techniques.

Findings

Derived new identities for degenerate Euler polynomials

Established connections between degenerate Euler and Bernstein polynomials

Analyzed two-variable degenerate Bernstein polynomials and operators

Abstract

In this paper, we investigate some properties and identities for degenerate Euler polynomials in connection with degenerate Bernstein polynomials by means of fermionic p-adic integrals on Zp and generating functions. In addition, we study two variable degenerate Bernstein polynomials and the degenerate Bernstein operators.