119 citations
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Showing 2004 · math.CVShow all
3 papers · 2 filters
math.CV2004
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}{…
math.CV2004
Valence of complex-valued planar harmonic functions
Genevra Neumann
The valence of a function at a point is the number of distinct, finite solutions to . Let be a complex-valued harmonic function in an open set $R \subseteq \m…
math.CV2004★ 1 cited
On the number of zeros of certain rational harmonic functions
Dmitry Khavinson, Genevra Neumann
Extending a result from the paper of D. Khavinson and G. Swiatek, we show that the rational harmonic function , where r(z) is a rational function of degree n > 1, h…