2 papers
math.DS2012
On the spherical derivative of a rational function
Matthew Barrett, Alexandre Eremenko
For a rational function f we consider the norm of the derivative with respect to the spherical metric and denote by K(f) the supremum of this norm. We give estimates of this quanti…
math.CV2010
Generalization of a theorem of Clunie and Hayman
Matthew Barrett, Alexandre Eremenko
Clunie and Hayman proved that if the spherical derivative of an entire function has order of growth sigma then the function itself has order at most sigma+1. We extend this result…