Probabilistic approach to Appell polynomials

被引：24

作者：

Ta, Bao Quoc ^{[1
]}

机构：

[1] Abo Akad Univ, Dept Nat Sci Math & Stat, FIN-20500 Turku, Finland

来源：

EXPOSITIONES MATHEMATICAE | 2015年 / 33卷 / 03期

关键词：

Appell polynomials; Gamma distribution; Bernoulli; Euler; Hermite; Laguerre polynomials; BERNOULLI; RISK;

D O I：

10.1016/j.exmath.2014.07.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study Appell polynomials by connecting them to random variables. This probabilistic approach yields, e.g., the mean value property which is fundamental in the sense that many other properties can be derived from it. We also discuss moment representations of Appell polynomials. In the latter part of the paper the presented general theory is applied to study some classical explicitly given polynomials. (C) 2014 Elsevier GmbH. All rights reserved.

引用

页码：269 / 294

页数：26

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