New Results on Higher-Order Changhee Numbers and Polynomials

Abstract

We derive new matrix representation for higher-order changhee numbers and polynomials. This helps us to obtain simple and short proofs of many previous results on higher-order changhee numbers and polynomials. Moreover, we obtain recurrence relations, explicit formulas and some new results for these numbers and polynomials. Furthermore, we investigate the relations between these numbers and polynomials and Stirling numbers, Norlund and Bernoulli numbers of higher-order. Some numerical results using Mathcad program are introduced.