Fourier series of sums of products of poly-Bernoulli functions and their applications


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.


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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


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