Author(s)

Beih S. El-Desouky, Abdelfattah Mustafa, Fatma M. Abdel-Moneim

Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt.

This paper gives a new generalization of higher order Daehee and Bernoulli numbers and polynomials. We define the multiparameter higher order Daehee numbers and polynomials of the first and second kind. Moreover, we derive some new results for these numbers and polynomials. The relations between these numbers and Stirling and Bernoulli numbers are obtained. Furthermore, some interesting special cases of the generalized higher order Daehee and Bernoulli numbers and polynomials are deduced.

Daehee Numbers, Daehee Polynomials, Higher-Order Daehee Numbers, Higher-Order Daehee Polynomials, Higher-Order Bernoulli Polynomials, Multiparities Daehee Polynomials

El-Desouky, B. , Mustafa, A. and Abdel-Moneim, F. (2017) Multiparameter Higher Order Daehee and Bernoulli Numbers and Polynomials. Applied Mathematics, 8, 775-785. doi: 10.4236/am.2017.86060.