两个变量高阶富比尼多项式

IF 0.5 4区数学 Q2 MATHEMATICS

Journal of the Korean Mathematical Society 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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来源期刊

Journal of the Korean Mathematical Society 数学-数学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).