Fourier series of higher-order ordered Bell functions

Volume 10, Issue 7, pp 3851--3855 http://dx.doi.org/10.22436/jnsa.010.07.39

Publication Date: July 27, 2017 Submission Date: March 16, 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. Gwan-Woo Jang - Department of Mathematics, Kwangwoon University, Seoul, 139-701, Republic of Korea. Jongkyum Kwon - Department of Mathematics Education and RINS, Gyeongsang National University, Jinju, Gyeongsangnamdo, 52828, Republic of Korea.

Abstract

In this paper, we consider higher-order ordered Bell functions and derive their Fourier series expansions. Moreover, we express those functions in terms of Bernoulli functions.

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Keywords

• Fourier series
• higher-order ordered Bell functions
• higher-order ordered Bell polynomials.

MSC

•  11B83
•  42A16

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