Series of sums of products of higher-order Bernoulli functions

被引：3

作者：

Kim, Taekyun ^{[1
,2
]}

Kim, Dae San ^{[3
]}

Jang, Gwan-Woo ^{[2
]}

Kwon, Jongkyum ^{[4
,5
]}

机构：

[1] Tianjin Polytech Univ, Coll Sci, Dept Math, Tianjin 300160, Peoples R China

[2] Kwangwoon Univ, Dept Math, Seoul 139701, South Korea

[3] Sogang Univ, Dept Math, Seoul 121742, South Korea

[4] Gyeongsang Natl Univ, Dept Math Educ, Jinju 52828, Gyeongsangnamdo, South Korea

[5] Gyeongsang Natl Univ, RINS, Jinju 52828, Gyeongsangnamdo, South Korea

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2017年

关键词：

Fourier series; sums of products of higher-order Bernoulli functions; FOURIER-SERIES; POLYNOMIALS; IDENTITIES; NUMBERS; EULER;

D O I：

10.1186/s13660-017-1494-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown in a previous work that Faber-Pandharipande-Zagier's and Miki's identities can be derived from a polynomial identity, which in turn follows from the Fourier series expansion of sums of products of Bernoulli functions. Motivated by and generalizing this, we consider three types of functions given by sums of products of higher-order Bernoulli functions and derive their Fourier series expansions. Moreover, we express each of them in terms of Bernoulli functions.

引用

页数：16

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[J]. Journal of Inequalities and Applications, 2017
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