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arxiv: 1709.02188 · v1 · pith:D2WQZIY7new · submitted 2017-09-07 · 🧮 math.DS · math.CV

A lower bound of the hyperbolic dimension for meromorphic functions having a logarithmic H\"older tract

classification 🧮 math.DS math.CV
keywords boundsdimensionfunctionshyperboliclogarithmiclowerolderomega
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We improve existing lower bounds of the hyperbolic dimension for meromophic functions that have a logarithmic tract {\Omega} which is a H\"older domain. These bounds are given in terms of the fractal behavior, measured with integral means, of the boundary of {\Omega} at infinity.

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