An old new class of meromorphic functions
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 $\delta(0,w)$, is completely resolved.
- Publication:
-
arXiv e-prints
- Pub Date:
- January 2016
- DOI:
- 10.48550/arXiv.1601.04032
- arXiv:
- arXiv:1601.04032
- Bibcode:
- 2016arXiv160104032S
- Keywords:
-
- Mathematics - Complex Variables;
- 30D30;
- 30D35;
- 30D45