Fourier series of finite product of Bernoulli and ordered Bell functions
Volume 11, Issue 4, pp 500--515
http://dx.doi.org/10.22436/jnsa.011.04.07
Publication Date: March 17, 2018
Submission Date: May 31, 2017
Revision Date: December 08, 2017
Accteptance Date: December 26, 2017
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Authors
Taekyun Kim
- Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin 300160, China.
- Department of Mathematics, Kwangwoon University, Seoul, 139-701, Republic of Korea.
Dae San Kim
- Department of Mathematics, Sogang University, Seoul, 121-742, Republic of Korea.
Dmitry V. Dolgy
- Hanrimwon, Kwangwoon University, Seoul, 139-701, Republic of Korea.
Jongkyum Kwon
- Department of Mathematics Education and ERI, Gyeongsang National University, Jinju, Gyeongsangnamdo, 52828, Republic of Korea.
Abstract
In this paper, we consider three types of functions given by products of Bernoulli and ordered Bell functions and derive their Fourier series expansions. In addition, we will express each of them in terms of Bernoulli functions.
Share and Cite
ISRP Style
Taekyun Kim, Dae San Kim, Dmitry V. Dolgy, Jongkyum Kwon, Fourier series of finite product of Bernoulli and ordered Bell functions, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 4, 500--515
AMA Style
Kim Taekyun, Kim Dae San, Dolgy Dmitry V., Kwon Jongkyum, Fourier series of finite product of Bernoulli and ordered Bell functions. J. Nonlinear Sci. Appl. (2018); 11(4):500--515
Chicago/Turabian Style
Kim, Taekyun, Kim, Dae San, Dolgy, Dmitry V., Kwon, Jongkyum. "Fourier series of finite product of Bernoulli and ordered Bell functions." Journal of Nonlinear Sciences and Applications, 11, no. 4 (2018): 500--515
Keywords
- Fourier series
- Bernoulli functions
- ordered Bell functions
MSC
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