Growth regularity for the arguments of meromorphic in $\mathbb C\setminus\{0\}$ functions of completely regular growth

Abstract

Abstract. We study the asymptotic behaviour for the arguments of meromorphic function in C ∖ {0} of completely regular growth with respect to a growth function . We find that that the key role in the description of this behaviour is played by the function 1 ( ) = ∫︀ 1 ( )/ .