ON SIGNS OF CERTAIN TOEPLITZ-HESSENBERG DETERMINANTS WHOSE ELEMENTS INVOLVE BERNOULLI NUMBERS

被引：0
|
作者：
Qi, Feng [1 ]
机构：
[1] Henan Polytech Univ, Inst Math, Jiaozuo 454010, Henan, Peoples R China
来源：
CONTRIBUTIONS TO DISCRETE MATHEMATICS | 2023年 / 18卷 / 02期
关键词：
Toeplitz-Hessenb erg determinant; logarithmic convexity; Bernoulli number; sign; Wronski's formula; Kaluza's theorem; derivative formula for the ratio of two differentiable functions;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the paper, by virtue of Wronski's formula and Kaluza's theorem related to a power series and its reciprocal, by means of Cahill and Narayan's recursive relation, and with the aid of the logarithmic convexity of the sequence of the Bernoulli numbers, the author presents the signs of certain Toeplitz-Hessenb erg determinants whose elements involve the Bernoulli numbers and combinatorial numbers. Moreover, with the help of a derivative formula for the ratio of two differentiable functions, the author provides an alternative proof of Wronski's formula.
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页码：48 / 59
页数：12
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