Geodesic
Fourier series of sums of products of poly-Bernoulli functions and their applications
Kim, Taekyun1 ; Kim, Dae San2 ; Dolgy, Dmitry V.3 ; Park, Jin-Woo4
1 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, Daegu University, Gyeongsan-si, Gyeongsangbuk-do, 712-714, Republic of Korea
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 5, p. 2384-2401.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.010.05.10
Classification : 11B68, 11B83, 42A16
Keywords: Fourier series, Bernoulli polynomial, poly-Bernoulli polynomial, poly-Bernoulli function.

Kim, Taekyun 1 ; Kim, Dae San 2 ; Dolgy, Dmitry V. 3 ; Park, Jin-Woo 4

1 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, Daegu University, Gyeongsan-si, Gyeongsangbuk-do, 712-714, Republic of Korea 
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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 its applications, Tome 10 (2017) no. 5, p. 2384-2401. doi : 10.22436/jnsa.010.05.10. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.05.10/

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