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

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.


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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


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