Multiparameter Higher Order Daehee and Bernoulli Numbers and Polynomials

作     者：Beih S. El-Desouky Abdelfattah Mustafa Fatma M. Abdel-Moneim 

作者机构：Department of Mathematics Faculty of Science Mansoura University Mansoura Egypt 

出 版 物：《Applied Mathematics》 (应用数学（英文）)

年 卷 期：2017年第8卷第6期

页      面：775-785页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Daehee Numbers Daehee Polynomials Higher-Order Daehee Numbers Higher-Order Daehee Polynomials Higher-Order Bernoulli Polynomials Multiparities Daehee Polynomials 

摘      要：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.