We consider the subclass of class B consisting of meromorphic functions $f:C\to C$ for which infinity is not an asymptotic value and whose all poles have orders uniformly bounded from above. This class was introduced in [BwKo2012] and the Hausdorff dimension HD(I(f)) of the set I(f) of all points escaping to infinity under forward iteration of $f$ was estimated therein. In this lecture, based on joint paper with Volker Mayer, we provide a closed formula for the exact value of HD(I(f)) identifying it with the critical exponent of the natural series introduced in [BwKo2012]. This exponent is very easy to calculate for many concrete functions. In particular, we construct a function from this class which is of infinite order and for which HD(I(f))=0.

Zoom (ID: 827 6082 3142, Password: 057934)