%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