两个变量高阶富比尼多项式

Pub Date : 2018-01-01 DOI:10.4134/JKMS.J170573

Dae San Kim, Taekyun Kim, H. Kwon, Jin-Woo Park

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引用次数: 24

摘要

． Kilar和Simsek([5])最近引入了一类新的与apostoll - bernoulli数和多项式相关的Fubini型数和多项式，并将其作为系数为Fu- bini多项式的Appell多项式进行了研究。本文利用本影微积分来研究两变量高阶富比尼多项式。我们推导了它们的一些性质、显式表达式和递推关系。此外，我们用一些特殊多项式族来表示两变量高阶富比尼多项式，反之亦然。

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TWO VARIABLE HIGHER-ORDER FUBINI POLYNOMIALS

. Some new family of Fubini type numbers and polynomials associated with Apostol-Bernoulli numbers and polynomilas were intro- duced recently by Kilar and Simsek ([5]) and we study the two variable Fubini polynomials as Appell polynomials whose coeﬃcients are the Fu- bini polynomials. In this paper, we would like to utilize umbral calculus in order to study two variable higher-order Fubini polynomials. We derive some of their properties, explicit expressions and recurrence relations. In addition, we express the two variable higher-order Fubini polynomials in terms of some families of special polynomials and vice versa.

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