Fourier series of sums of products of poly-Bernoulli functions and their applications
- 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.
- Department of Mathematics Education, Daegu University, Gyeongsan-si, Gyeongsangbuk-do, 712-714, Republic of Korea.
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.
- Fourier series
- Bernoulli polynomial
- poly-Bernoulli polynomial
- poly-Bernoulli function.
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