%0 Journal Article
%T Riordan阵与广义&#955;-Array Type多项式恒等式<br>Generalized &#955;-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 <div style=\"text-align:justify;\">
	<span style=\"font-size:14px;line-height:1.5;\">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。<br />
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.</span><span style=\"font-size:14px;line-height:1.5;\"></span> 
</div>
%K 指数型Riordan阵，广义&#955
%K -Array Type多项式，经典Array Type多项式，第二类Stirling数<br>Exponential Riordan Array
%K Generalized &#955
%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