Definition: Overelliptically is a mathematical concept in complex analysis, specifically in the theory of elliptic functions. It refers to the case where the function \(f(z) = \frac{1}{z}\) has an essential singularity at some point (the "point" being a critical point). This means that the derivative of \(f\) evaluated at this point is not defined. In other words, if we have a function \(f(z)\), where \(f\) has an essential sing