\wp - LaTeX Symbol

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℘

\wp

The \wp symbol represents the Weierstrass p-function, which is a special function in mathematics, particularly in the field of complex analysis and elliptic functions. It is used to denote a specific type of elliptic function that is doubly periodic and meromorphic.

Examples

℘ (z; g_{2}, g_{3})

The Weierstrass p-function with invariants g_2 and g_3.

\wp(z; g_2, g_3)

℘^{'} (z)

The derivative of the Weierstrass p-function with respect to z.

\wp'(z)

℘ (z) = \frac{1}{z ^{2}} + n \neq = 0 \sum (\frac{1}{( z - n ) ^{2}} - \frac{1}{n ^{2}})

Series representation of the Weierstrass p-function.

\wp(z) = \frac{1}{z^2} + \sum_{n \neq 0} \left( \frac{1}{(z - n)^2} - \frac{1}{n^2} \right)