On the growth of entire curves of lower order smaller than one
Let \(G:{\mathbb{C}}\to {\mathbb{C}}^ p\) be an entire curve and let \(a\in {\mathbb{C}}^ p\). Define \(\mu (r,a,G)=\min \{Ln(\| G(z)\| \| a\| /| <G(z),a>|): | z| =r\}\) and \(\alpha (a,G)=\limsup_{r\to \infty} (\mu (r,a,G)/T(r,G)).\) The author gives estimates of \(\alpha\) (A,G) in terms of standard growth indicators for entire curves. Some of the estimates are similar to known inequalities for meromorphic functions of order zero.
scientific article; zbMATH DE number 4023685