title: Fourier series of higher-order Bernoulli functions and their applications.
abstract: In this paper, we study the Fourier series related to higher-order Bernoulli functions and give new identities for higher-order Bernoulli functions which are derived from the Fourier series of them.
authors.affiliation: Department of Mathematics, Kwangwoon University, Seoul, 139-701 Republic of Korea ; Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin, 300160 China.
authors.forename: Taekyun
authors.initials: T
authors.lastname: Kim
authors.affiliation: Department of Mathematics, Sogang University, Seoul, 121-742 Republic of Korea.
authors.forename: Dae San
authors.initials: DS
authors.lastname: Kim
authors.affiliation: Department of Mathematics Education, Kyungpook National University, Taegu, 702-701 Republic of Korea.
authors.forename: Seog-Hoon
authors.initials: SH
authors.lastname: Rim
authors.affiliation: Hanrimwon, Kwangwoon University, Seoul, 139-701 Republic of Korea ; School of Natural Sciences, Far Eastern Federal University, 690950 Vladivostok, Russia.
authors.forename: Dmitry V
authors.initials: DV
authors.lastname: Dolgy
keywords: Bernoulli functions; Bernoulli polynomials; Fourier series