English

New Results on Higher-Order Changhee Numbers and Polynomials

Combinatorics 2019-09-16 v1

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.

Keywords

Cite

@article{arxiv.1909.06060,
  title  = {New Results on Higher-Order Changhee Numbers and Polynomials},
  author = {Beih S. El-Desouky and Abdelfattah Mustafa and Nenad P. Cakic},
  journal= {arXiv preprint arXiv:1909.06060},
  year   = {2019}
}

Comments

15 pages

R2 v1 2026-06-23T11:14:15.370Z