# A note on degenerate Euler and Bernoulli polynomials of complex variable

## TL;DR

This paper introduces and studies degenerate versions of Euler and Bernoulli polynomials of complex variables, focusing on cosine and sine variants, expanding the theoretical framework of these special functions.

## Contribution

It presents new degenerate cosine and sine Euler and Bernoulli polynomials of complex variables, extending existing polynomial families with novel degenerate forms.

## Key findings

- Defined degenerate cosine-Euler and sine-Euler polynomials
- Defined degenerate cosine-Bernoulli and sine-Bernoulli polynomials
- Explored properties of these degenerate polynomials

## Abstract

In this paper, we study the degenerate version of the new type Euler polynomials, namely degenerate cosine-Euler polynomials and sime-Euler polynomials and also corresponding ones for Bernoulli polynomials, namely degenerate cosine Bernoulli polynomials and degenerate sine-Bernoulli polynomials by considering the degenerate Euler polynomials of complex variable and the degenerate Bernoulli polynomials of complex variable.