Special functions
ConceptSKOS conceptSpecial function
Weierstrass zeta function
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Definition
$\zeta (z)=\frac{1}{z}+\sum_{m=-\infty }^{\infty }\sum_{n=- }^{\infty }\left[ \frac{1}{z-2m\omega _{1}-2n\omega _{2}}+\frac{z}{(2m\omega_{1}+2n\omega _{2})^{2}}+\frac{1}{2m\omega _{1}+2n\omega _{2}}\right] $ \ \ $ \left[ mn\neq 0\right] $
Definition article
$\zeta (z)=\frac{1}{z}+\sum_{m=-\infty }^{\infty }\sum_{n=- }^{\infty }\left[ \frac{1}{z-2m\omega _{1}-2n\omega _{2}}+\frac{z}{(2m\omega_{1}+2n\omega _{2})^{2}}+\frac{1}{2m\omega _{1}+2n\omega _{2}}\right] $ \ \ $ \left[ mn\neq 0\right] $
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