Hausdorff dimension of escaping sets of meromorphic functions II
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 or . On the other hand, the Hausdorff dimension of escaping sets of Speiser functions can attain every number
