11 citations · 24 across the 10 of their papers we have counts for
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On the Dynamics of Rational Maps with Two Free Critical Points
HyeGyong Jang, Norbert Steinmetz
In this paper we discuss the dynamical structure of the rational family given by Each map has two…
First order algebraic differential equations of genus zero
Norbert Steinmetz
We utilise recent results about the transcendental solutions to Riccati differential equations to provide a comprehensive description of the nature of the transcendental solutions…
An old new class of meromorphic functions
Norbert Steinmetz
Based on the so-called re-scaling method, we will give a detailed description of the solutions to the Hamiltonian system (\ref{Hsystem}) below, which was discovered only recently b…
A unified approach to the Painleve Transcendents
Norbert Steinmetz
We utilise a recent approach via the so-called re-scaling method to derive a unified and comprehensive theory of the solutions to Painleve's differential equations (I), (II) and (I…