CONNECTION COEFFICIENTS FOR HIGHER-ORDER BERNOULLI AND EULER POLYNOMIALS: A RANDOM WALK APPROACH

被引：0

作者：

Jiu, Lin ^{[1
]}

Vignat, Christophe ^{[2
]}

机构：

[1] Dalhousie Univ, Dept Math & Stat, Halifax, NS B3H4R2, Canada

[2] Tulane Univ, Dept Math, New Orleans, LA 70118 USA

来源：

FIBONACCI QUARTERLY | 2019年 / 57卷 / 05期

基金：

奥地利科学基金会;

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use random walks as an approach to obtain connection coefficients for higher-order Bernoulli and Euler polynomials. In particular, we study the cases of a 1-dimensional linear reflected Brownian motion and of a 3-dimensional Bessel process. By considering the successive hitting times of two, three, and four fixed levels of these random walks, we obtain non-trivial identities that involve higher-order Bernoulli and Euler polynomials.

引用

页码：84 / 95

页数：12

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