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Hausdorff dimension of escaping sets of meromorphic functions II

Hausdorff dimension of escaping sets of meromorphic functions II

Abstract A function which is transcendental and meromorphic in the plane has at least two singular values. On the one hand, if a meromorphic function has exactly two singular values, it is known that the Hausdorff dimension of the escaping set can only be either $2$ or $1/2$ . On …