FOURIER SERIES OF SUMS OF PRODUCT OF POLY-BERNOULLI AND EULER FUNCTIONS AND THEIR APPLICATIONS

TAEKYUN KIM; DAE SAN KIM; GWAN-WOO JANG; JONGKYUM KWON

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FOURIER SERIES OF SUMS OF PRODUCT OF POLY-BERNOULLI AND EULER FUNCTIONS AND THEIR APPLICATIONS

机译：傅立叶系列多Bernoulli和欧拉功能及其应用

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摘要

We consider three types of functions given by sums of products of poly-Bernoulli and Euler functions and derive their Fourier series expansions. In addition, we will express each of them in terms of Bernoulli and Euler functions.

机译：我们考虑由多伯尔诺利和欧拉函数的产品和源于傅立叶级数的三种功能，并得出傅立叶系列扩展。此外，我们将在伯努利和欧拉职能方面表达它们中的每一个。

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来源
《Journal of computational analysis and applications》 |2019年第6期|共19页
作者
TAEKYUN KIM; DAE SAN KIM; GWAN-WOO JANG; JONGKYUM KWON;
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作者单位

Department of Mathematics College of Science Tianjin Polytechnic University Tianjin 300160 China;

Department of Mathematics Sogang University Seoul 121-742 Republic of Korea;

Department of Mathematics Kwangwoon University Seoul 139-701 Republic of Korea;

Department of Mathematics Education and RINS Gyeongsang National University Jinju Gyeongsangnamdo 52828 Republic of Korea;

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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Fourier series; poly-Bernoulli function; Euler function;

机译：傅立叶系列;多伯努利功能;欧拉函数;

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专利

1. FOURIER SERIES OF SUMS OF PRODUCT OF POLY-BERNOULLI AND EULER FUNCTIONS AND THEIR APPLICATIONS [J] . TAEKYUN KIM, DAE SAN KIM, GWAN-WOO JANG, Journal of computational analysis and applications . 2019,第6期

机译：傅立叶系列多Bernoulli和欧拉功能及其应用
2. Fourier series of sums of products of poly-Bernoulli functions and their applications [J] . Taekyun Kim, Dae San Kim, Dmitry V. Dolgy, The Journal of Nonlinear Sciences and its Applications . 2017,第5期

机译：多元伯努利函数乘积和的傅里叶级数及其应用
3. FOURIER SERIES OF SUMS OF PRODUCTS OF EULER AND GENOCCHI FUNCTIONS AND THEIR APPLICATIONS [J] . TAEKYUN KIM, DAE SAN KIM, DMITRY V. DOLGY, Journal of computational analysis and applications . 2018,第6期

机译：傅立叶系列欧拉和Genocchi功能及其应用
4. A Proof, Based on the Euler Sum Acceleration, of the Recovery of an Exponential (Geometric) Rate of Convergence for the Fourier Series of a Function with Gibbs Phenomenon [C] . John, P. Boyd International conference on spectral and high order methods . 2011

机译：基于欧拉总和加速的证据，恢复指数（几何）收敛率的傅立叶级数与Gibbs现象的函数
5. FUNCTIONS OF GENERALIZED BOUNDED VARIATION AND SUMMABILITY OF FOURIER SERIES. [D] . D'ANTONIO, LAWRENCE ARTHUR. 1986

机译：傅里叶级数的广义有界变化和可合性的函数。
6. Fourier series of sums of products of ordered Bell and poly-Bernoulli functions [O] . Taekyun Kim, Dae San Kim, Dmitry V Dolgy, -1

机译：有序Bell和poly-Bernoulli函数的乘积和的傅里叶级数
7. Fourier series of sums of products of poly-Bernoulli functions and their applications [O] . Taekyun Kim, Dae San Kim, Dmitry V. Dolgy, 2017

机译：傅立叶系列多伯尔诺利函数及其应用的产品

FOURIER SERIES OF SUMS OF PRODUCT OF POLY-BERNOULLI AND EULER FUNCTIONS AND THEIR APPLICATIONS

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