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- Michigan State UniversityUS5 papers
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- Mathematical Sciences Research InstituteUS3 papers
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4 papers · 1 filter
A generalization of trigonometric convexity and its relation to positive harmonic functions in homogeneous domains
V. Azarin, D. Drasin, P. Poggi-Corradini
We consider functions which are subfunctions with respect to the differential operator $$L_ρ= \frac{\partial^2}{\partial x^2} + \frac{\partial^2}{\partial y^2} + 2ρ\frac{\partial}{…
Value distribution and potential theory
Alexandre Eremenko
We describe some results of value distribution theory of holomorphic curves and quasiregular maps, which are obtained using potential theory. Among the results discussed are: exten…
A negative answer to Nevanlinna's type question and a parabolic surface with a lot of negative curvature
Itai Benjamini, Sergei Merenkov, Oded Schramm
Consider a simply connected Riemann surface represented by a Speiser graph. Nevanlinna asked if the type of the surface is determined by the mean excess of the graph: whether mean…
Real entire functions with real zeros and a conjecture of Wiman
Walter Bergweiler, A. Eremenko, J. K. Langley
If f is a real entire function and ff" has only real zeros then f belongs to the Laguerre-Polya class, the closure of the set of real polynomials with real zeros. This result compl…