TITLE:
Multiparameter Higher Order Daehee and Bernoulli Numbers and Polynomials
AUTHORS:
Beih S. El-Desouky, Abdelfattah Mustafa, Fatma M. Abdel-Moneim
KEYWORDS:
Daehee Numbers, Daehee Polynomials, Higher-Order Daehee Numbers, Higher-Order Daehee Polynomials, Higher-Order Bernoulli Polynomials, Multiparities Daehee Polynomials
JOURNAL NAME:
Applied Mathematics,
Vol.8 No.6,
June
8,
2017
ABSTRACT: 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.