A new Approach to fully degenerate Bernoulli numbers and polynomials

TL;DR

This paper introduces a new class of sequences related to fully degenerate Bernoulli numbers and polynomials, deriving formulas for these and Euler polynomials, expanding the mathematical understanding of degenerate special functions.

Contribution

It presents a novel approach to fully degenerate Bernoulli numbers and polynomials, providing new formulas and relationships for these sequences.

Findings

Derived new formulas for degenerate Bernoulli and Euler polynomials

Established relationships between new sequences and classical polynomials

Expanded theoretical framework for degenerate special functions

Abstract

In this paper, we investigate new class of sequences related to fully degenerate Bernoulli numbers and polynomials. From those sequences, we derive some formulae for the degenerate Bernoulli and Euler polynomials.