Difference between revisions of "Clausen cosine"
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Revision as of 06:30, 10 January 2017
Let $s \in \mathbb{C}$. The Clausen cosine function $\tilde{\mathrm{Cl}}_s \colon \mathbb{C} \rightarrow \mathbb{C}$ is defined by $$\tilde{\mathrm{Cl}}_s(z)=\displaystyle\sum_{k=1}^{\infty} \dfrac{\cos(kz)}{k^s},$$ where $\cos$ denotes cosine.
