Fourier series of sums of products of ordered Bell and poly-Bernoulli functions

In this paper, we study three types of sums of products of ordered Bell and poly-Bernoulli functions and derive their Fourier series expansion. In addition, we express those functions in terms of Bernoulli functions.

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Bibliographic Details
Published in:Journal of inequalities and applications 2017, Vol.2017 (1), p.1-17, Article 84
Main Authors: Kim, Taekyun, Kim, Dae San, Dolgy, Dmitry V, Park, Jin-Woo
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Bells
Fourier series
Inequalities
Mathematics
Mathematics and Statistics
ordered Bell function
poly-Bernoulli function
Sums
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Description
Summary:In this paper, we study three types of sums of products of ordered Bell and poly-Bernoulli functions and derive their Fourier series expansion. In addition, we express those functions in terms of Bernoulli functions.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-017-1359-2