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arXiv · 1601.04032

An old new class of meromorphic functions

Norbert Steinmetz
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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.

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Norbert Steinmetz. 2016-01-15. An old new class of meromorphic functions. https://arxiv.org/abs/1601.04032

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