On the growth of meromorphic functions on rays

Abstract

In this paper I investigate the behaviour of $$L = \lim \,\mathop {\inf }\limits_{r \to \infty } |\log |f(re^{i\delta } )| + \log |f(re^{ - i\delta } )||/N(r)$$ (1) where f is a meromorphic function of non-integral order λ, $$N(r) = N(r,f) + N(r,1/f)$$ and $$0 \leqq \delta < \pi .$$ KeywordsEntire FunctionMeromorphic FunctionNevanlinna TheoryCanonical ProductProximate OrderThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.