HANKEL DETERMINANTS OF SHIFTED SEQUENCES OF BERNOULLI AND EULER NUMBERS

被引：0

作者：

Dilcher, Karl ^{[1
]}

Jiu, Lin ^{[2
]}

机构：

[1] Dalhousie Univ, Dept Math & Stat, Halifax, NS B3H 4R2, Canada

[2] Duke Kunshan Univ, Zu Chongzhi Ctr Math & Computat Sci, Suzhou 215316, Jiangsu, Peoples R China

来源：

CONTRIBUTIONS TO DISCRETE MATHEMATICS | 2023年 / 18卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Bernoulli polynomial; Euler polynomial; Hankel determinant; orthogonal polynomial; shifted sequence;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

. Hankel determinants of sequences related to Bernoulli and Euler numbers have been studied before, and numerous identities are known. However, when a sequence is shifted by one unit, the situation often changes significantly. In this paper we use classical orthogonal polynomials and related methods to prove a general result concerning Hankel determinants for shifted sequences. We then apply this result to obtain new Hankel determinant evaluations for a total of 14 sequences related to Bernoulli and Euler numbers, one of which concerns Euler polynomials.

引用

页码：146 / 175

页数：30

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