FOURIER SERIES OF SUMS OF PRODUCTS OF EULER AND GENOCCHI FUNCTIONS AND THEIR APPLICATIONS

TAEKYUN KIM; DAE SAN KIM; DMITRY V. DOLGY; JIN-WOO PARK

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FOURIER SERIES OF SUMS OF PRODUCTS OF EULER AND GENOCCHI FUNCTIONS AND THEIR APPLICATIONS

机译：傅立叶系列欧拉和Genocchi功能及其应用

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摘要

We study three types of sums of products of Euler and Genocchi functions and derive Fourier series expansions for them. Further, we will be able to express each of those functions in terms of Bernoulli functions.

机译：我们研究了三种类型的欧拉和Genocchi函数的产品，并为他们推出了傅里叶系列扩展。此外，我们将能够以伯努利函数表示这些功能。

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来源
《Journal of computational analysis and applications》 |2018年第6期|共16页
作者
TAEKYUN KIM; DAE SAN KIM; DMITRY V. DOLGY; JIN-WOO PARK;
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作者单位

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

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

Hanrimwon Kwangwoon University Seoul 139-701 Republic of Korea;

Department of Mathematics Education Daegu University Gyeongsan-si Gyeongsangbukdo 712-714 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; Euler polynomial; Euler function; Genocchi polynomial; Genocchi function;

机译：傅立叶系列;欧拉多项式;欧拉功能;Genocchi多项式;Genocchi功能;

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专利

1. 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
2. Fourier series of sums of products of Genocchi functions and their applications [J] . D. S. Kim, G.-W. Jang, J. K. Kwon, The Journal of Nonlinear Sciences and its Applications . 2017,第4期

机译：Genocchi函数乘积和的傅里叶级数及其应用
3. 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
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 finite products of Bernoulli and Genocchi functions [O] . Taekyun Kim, Dae San Kim, Gwan-Woo Jang, -1

机译：伯努利和Genocchi函数的有限积的傅立叶级数
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 PRODUCTS OF EULER AND GENOCCHI FUNCTIONS AND THEIR APPLICATIONS

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