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.
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页码：146 / 175
页数：30
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