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