Harmonic mappings and logharmonic functions occupy a central role in complex analysis and applied mathematics. Harmonic mappings are functions that satisfy Laplace’s equation and are frequently ...

Coming to grips with the semantics and vocabulary that apply to “distortion” takes a little discipline, but it isn’t all that intimidating. All you need is a little patience to go over the relevant ...

We prove that if two level curves of a harmonic function are convex in the hyperbolic disc then all intermediate level curves are also convex. This item is part of a ...

Proceedings of the American Mathematical Society, Vol. 107, No. 4 (Dec., 1989), pp. 937-942 (6 pages) We prove the following theorem: A bounded harmonic function is identically zero if it tends to ...