Fourier series of sums of products of poly-Bernoulli functions and their applications
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Authors
Taekyun Kim
- 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.
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 sums of products of poly-Bernoulli functions and derive Fourier series expansions
of them. In addition, we express those three types of functions in terms of Bernoulli functions.
Share and Cite
ISRP Style
Taekyun Kim, Dae San Kim, Dmitry V. Dolgy, Jin-Woo Park, Fourier series of sums of products of poly-Bernoulli functions and their applications, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 5, 2384--2401
AMA Style
Kim Taekyun, Kim Dae San, Dolgy Dmitry V., Park Jin-Woo, Fourier series of sums of products of poly-Bernoulli functions and their applications. J. Nonlinear Sci. Appl. (2017); 10(5):2384--2401
Chicago/Turabian Style
Kim, Taekyun, Kim, Dae San, Dolgy, Dmitry V., Park, Jin-Woo. "Fourier series of sums of products of poly-Bernoulli functions and their applications." Journal of Nonlinear Sciences and Applications, 10, no. 5 (2017): 2384--2401
Keywords
- Fourier series
- Bernoulli polynomial
- poly-Bernoulli polynomial
- poly-Bernoulli function.
MSC
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