Fourier series of functions associated with higher-order Bernoulli polynomials

Volume 10, Issue 5, pp 2579--2591 http://dx.doi.org/10.22436/jnsa.010.05.25

Publication Date: May 25, 2017 Submission Date: March 28, 2017

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Authors

Taekyun Kim - Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin, 300160, China. - Department of Mathematics, College of Natural Science, 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 - Hrimwon, Kwangwoon University, Seoul 139-701, Republic of Korea. Jin-Woo Park - Department of Mathematics Education, Daegu University, Gyeongsan-si, Gyeongsangbuk-do, 712-714, Republic of Korea.

Abstract

In this paper, we consider three types of functions associated with higher-order Bernoulli polynomials and derive their Fourier series expansions. Further, we express each of them in term of Bernoulli functions.

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Keywords

• Fourier series
• higher-order Bernoulli polynomials
• Bernoulli functions.

MSC

•  11B68
•  11B83
•  42A16

References

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