On value distribution of functions meromorphic in the whole plane

Abstract

We make two kinds of decompositions of functions meromorphic in the whole plane into two classes: One is the class of meromorphic functions of the first kind in the sense of Yosida (resp. of the first kind in the sense of Gavrilov) and the other is the class of meromorphic functions of the second kind in the sense of Yosida (resp. of the second kind in the sense of Gavrilov). Using these decompositions, we prove a result about the growth of the characteristic functions and some results about value distribution, of meromorphic functions of the first kind in the sense of Yosida (resp. of the first kind in the sense of Gavrilov).