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New trends in geometric function theory.

Bulboacă, Teodor (ed.), Aouf, Mohamed K. (ed.), Cho, Nak Eun (ed.), Kanas, Stanisława R. (ed.), Obradovic, Milutin (ed.) (2010)

International Journal of Mathematics and Mathematical Sciences

Nonbasic harmonic maps onto convex wedges

Josephi Cima, Alberti Livingston (1993)

Colloquium Mathematicae

We construct a nonbasic harmonic mapping of the unit disk onto a convex wedge. This mapping satisfies the partial differential equation f z ¯ = a f z where a(z) is a nontrivial extreme point of the unit ball of H .

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