%0 Journal Article
%T Riordan阵与广义λ-Array Type多项式恒等式
Generalized λ-Array Type Polynomials with Exponential Riordan Array
%A 青兰
%A 乌云高娃
%J Pure Mathematics
%P 288-298
%@ 2160-7605
%D 2016
%I Hans Publishing
%R 10.12677/PM.2016.63043
%X
在本文中定义了一类广义λ-array多项式,并利用运用指数型Riordan阵方法与组合分析法,研究了广义λ-array type多项式,得到了广义λ-array type多项式与广义Hermite-Based Apostol Bernoulli多项式,广义Hermite-Based Apostol Euler多项式的关系式,给出了array type多项式,第二类Stirling数以及高阶Bernoulli多项式,高阶Euler多项式的一些恒等式。
In this paper, by using exponential Riordan array methods, we proved some identities among the generalized λ-array type polynomials, the generalized Hermite-Based Apostol Bernoulli polyno-mials and the generalized Hermite-Based Apostol Euler polynomials. We also obtain some combi-natorial identities involving the classical array type polynomials, the Stirling number of the second kind, the generalized Bernoulli polynomials and the generalized Euler polynomials.
%K 指数型Riordan阵,广义λ
%K -Array Type多项式,经典Array Type多项式,第二类Stirling数
Exponential Riordan Array
%K Generalized λ
%K -Array Type Polynomials
%K Classical Array Type Polynomials
%K Stirling Numbers of the Second Kind
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=17732