In 1926 Finnish mathematician Rolf Nevanlinna initiated the value distrib- ution theory of complex valued functions. Actually this theory deals with the study of the fact how an entire or meromorphic function assumes some values and the inuence of assuming certain values in some specic manner on a func- tion. In fact, the well known fundamental theorem of classical algebra is prob- ably the rst value distribution theorem. The value distribution theory deals with the various aspects of the behavior of entire and meromorphic functions one of which is the study of comparative growth properties....