FOURIER SERIES OF FUNCTIONS RELATED TO ORDERED BELL POLYNOMIALS

Kim Taekyun; Kim Dae San; Jang Gwan-Woo; Park Jin-Woo

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FOURIER SERIES OF FUNCTIONS RELATED TO ORDERED BELL POLYNOMIALS

机译：傅里叶系列与订购钟多项式有关

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摘要

In this paper, we study three types functions related to ordered Bell polynomials and derive their Fourier series expansions. In addition, we express them in term of Bernoulli functions.

机译：在本文中，我们研究了与订购钟多项式相关的三种功能，并导出了傅立叶系列扩展。此外，我们在伯努利函数中表达它们。

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来源
《Utilitas mathematica》 |2017年第2017期|共15页
作者
Kim Taekyun; Kim Dae San; Jang Gwan-Woo; Park Jin-Woo;
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作者单位

Kwangwoon Univ Dept Math Seoul 139701 South Korea;

Sogang Univ Dept Math Seoul 121742 South Korea;

Kwangwoon Univ Dept Math Seoul 139701 South Korea;

Daegu Univ Dept Math Educ Gyongsan 712714 Gyeongsangbuk D South Korea;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Fourier series; ordered Bell polynomial; Bernoulli function;

机译：傅立叶系列;订购响铃多项式;伯努利函数;

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专利

1. Fourier series of functions involving higher-order ordered Bell polynomials : Open Mathematics [J] . Taekyun Kim, Dae San Kim, Gwan-Woo Jang, Open Mathematics . 2017,第1期

机译：涉及高阶有序Bell多项式的傅里叶级数函数：开放数学
2. Comparing seven spectral methods for interpolation and for solving the Poisson equation in a disk: Zernike polynomials, Logan-Shepp ridge polynomials, Chebyshev-Fourier Series, cylindrical Robert functions, Bessel-Fourier expansions, square-to-disk conformal mapping and radial basis functions [J] . Boyd J.P., Yu F. Journal of Computational Physics . 2011,第4期

机译：比较用于插值和求解圆盘中泊松方程的七个频谱方法：Zernike多项式，Logan-Shepp脊形多项式，Chebyshev-Fourier级数，圆柱Robert函数，Bessel-Fourier展开，方圆盘共形映射和径向基函数
3. FOURIER SERIES OF SUMS OF PRODUCTS OF ORDERED BELL AND GENOCCHI FUNCTIONS [J] . TAEKYUN KIM, DAE SAN KIM, LEE CHAE JANG, Journal of computational analysis and applications . 2019,第1期

机译：傅里叶系列订购贝尔和Genocchi功能的产品
4. Orthogonal polynomials and expansion of analytic functions into Fourier series [C] . Nikolay Ikonomov International Conference "Applications of Mathematics in Engineering and Economics" . 2009

机译：傅里叶系列的正交多项式与分析函数的扩展
5. FUNCTIONS OF GENERALIZED BOUNDED VARIATION AND FOURIER SERIES. [D] . ISAZA, PEDRO. 1986

机译：广义有界变化和傅里叶级数的函数。
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 for Functions Related to Chebyshev Polynomials of the First Kind and Lucas Polynomials [O] . Taekyun Kim, Dae Kim, Lee-Chae Jang, 2018

机译：傅立叶系列用于与第一类和卢卡斯多项式的Chebyshev多项式相关的功能

FOURIER SERIES OF FUNCTIONS RELATED TO ORDERED BELL POLYNOMIALS

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