标题： 关于高阶Daehee数和多项式以及Bernoulli数和多项式的新结果 显示英文标题

标题： New Results on Higher-Order Daehee and Bernoulli Numbers and Polynomials

摘要： 我们推导出高阶Daehee数和多项式的新的矩阵表示形式，高阶lambda-Daehee数和多项式以及k阶扭曲lambda-Daehee数和多项式的新的矩阵表示形式。这有助于我们获得关于高阶Daehee数和多项式的简单而简洁的证明。 此外，我们获得了这些数和多项式的递归关系、显式公式和一些新结果。 此外，我们研究了这些数和多项式与Stirling数、高阶Norlund数和Bernoulli数之间的关系。 本文的结果推广了El-Desouky和Mustafa[6]最近得出的结果。 显示英文摘要

摘要： We derive new matrix representation for higher order Daehee numbers and polynomials, the higher order lambda-Daehee numbers and polynomials and the twisted lambda-Daehee numbers and polynomials of order k. This helps us to obtain simple and short proofs of many previous results on higher order Daehee numbers and polynomials. Moreover, we obtained recurrence relation, explicit formulas and some new results for these numbers and polynomials. Furthermore, we investigated the relation between these numbers and polynomials and Stirling numbers, Norlund and Bernoulli numbers of higher order. The results of this article gives a generalization of the results derived very recently by El-Desouky and Mustafa [6].