Cosine Integrals for the Clausen Function and Its Fourier Series Expansion

In a recent work, on taking into account certain finite sums of trigonometric functions I have derived exact closed-form results for some non-trivial integrals, including $\int_0^\pi{\sin(k\,\theta) \, \mathrm{Cl}_2(\theta) \, d \theta}$, where $k$ is a positive integer and $\,\mathrm{Cl}_2(\theta)\...

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Bibliographic Details
Main Author: F. M. S. Lima
Format: Article
Language:English
Published: Etamaths Publishing 2017-09-01
Series:International Journal of Analysis and Applications
Online Access:http://www.etamaths.com/index.php/ijaa/article/view/1347