Mapping a square to a circle

Denoting by \(F(z \,|\, m)\) the incomplete elliptic function of first kind, the function \[ \varphi(z) = -\sqrt{i} \, F\bigl(i \sinh^{-1}(\sqrt{i} \, z) \,|\, -1 \bigr). \] is a conformal mappi... Continue reading: Mapping a square to a circle
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