An old new class of meromorphic functions
Complex Variables
2016-01-18 v1
Abstract
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 by Kecker, and is strongly related to Painleve's fourth differential equation. In particular, the problem to determine those fourth Painleve transcendents with positive Nevanlinna deficiency , is completely resolved.
Keywords
Cite
@article{arxiv.1601.04032,
title = {An old new class of meromorphic functions},
author = {Norbert Steinmetz},
journal= {arXiv preprint arXiv:1601.04032},
year = {2016}
}