New Generalization Families of Higher Order Changhee Numbers and Polynomials

TL;DR

This paper introduces new generalizations of higher-order Changhee numbers and polynomials, deriving novel results and special cases, expanding the mathematical understanding of these sequences.

Contribution

It presents the first generalizations of higher-order Changhee numbers and polynomials, along with new derived properties and special cases.

Findings

New generalized higher-order Changhee numbers and polynomials introduced

Derived several new properties and results for these generalized sequences

Identified interesting special cases of the generalized numbers and polynomials

Abstract

In this paper, we introduce new generalizations of higher-order Changhee of the first and second kind. Moreover, we derive some new results for these numbers and polynomials. Furthermore, some interesting special cases of the generalized higher-order Changhee numbers and polynomials are deduced.