Iterating the minimum modulus: functions of order half, minimal type

Daniel A. Nicks, Philip J. Rippon, Gwyneth M. Stallard

For a transcendental entire function $f$, the property that there exists $r>0$ such that $m^n(r)\to \infty$ as $n\to \infty$, where $m(r)=\min \{|f(z)|:|z|=r\}$, is related to conjec…