11 citations · 24 across the 10 of their papers we have counts for
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Sub-normal Solutions to Painleve's Second Differential Equation
Norbert Steinmetz
In a recent paper, Aimo Hinkkanen and Ilpo Laine proved that the transcendental solutions to Painleve's second differential equation w"=a+zw+w^3 have either order of growth 3 or el…
The Yosida Class is Universal
Norbert Steinmetz
We discuss families of meromorphic functions obtained from single functions by the re-scaling process generalising Yosida's process $f_h(z)=f(…
On The Dynamics Of The Rational Family
Hye Gyong Jang, Norbert Steinmetz
In this paper we discuss the dynamics as well as the structure of the parameter space of the one-parameter family of rational maps $\ds f_t(z)=-\frac{t}{4}\frac{(z^{2}-2)^{2}}{z^{2…
Reminiscence Of An Open Problem: Remarks On Nevanlinna's Four-Value-Theorem
Norbert Steinmetz
The aim of this paper is to describe the origin, first solutions, further progress, the state of art, and a new ansatz in the treatment of a problem dating back to the 1920's, whic…
Normal families and linear differential equation
Norbert Steinmetz
It is proved that any family of analytic functions with spherical derivative uniformly bounded away from zero ist normal.