Category:Elliptic Functions

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This category contains results about Elliptic Functions.


Let $\displaystyle y \left({x}\right) = \int_0^x \dfrac {\d t} {\sqrt {P \left({t}\right)} }$ be an elliptic integral, where $P \left({t}\right)$ is a polynomial of degree $3$ or $4$.

Consider the inverse of $y \left({x}\right)$:

$x = \phi \left({y}\right)$

Then $\phi$ is an elliptic function.

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