Fourier series of finite product of Bernoulli and ordered Bell functions

Kim, Taekyun ¹ ; Kim, Dae San ² ; Dolgy, Dmitry V. ³ ; Kwon, Jongkyum ⁴

¹ Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin 300160, China;Department of Mathematics, Kwangwoon University, Seoul, 139-701, Republic of Korea
² Department of Mathematics, Sogang University, Seoul, 121-742, Republic of Korea
³ Hanrimwon, Kwangwoon University, Seoul, 139-701, Republic of Korea
⁴ Department of Mathematics Education and ERI, Gyeongsang National University, Jinju, Gyeongsangnamdo, 52828, Republic of Korea

Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 4, p. 500-515.

Résumé

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.

Détail

DOI : 10.22436/jnsa.011.04.07

Classification : 11B83, 42A16
Keywords: Fourier series, Bernoulli functions, ordered Bell functions

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