Filomat 2010 Volume 24, Issue 4, Pages: 25-34
doi:10.2298/FIL1004025B
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Some counterexamples related to the theory of HQC mappings

Božin Vladimir, Mateljević Miodrag

We give examples that show that several of the theorems in the theory of HQC mappings cannot be strenghtened by weakening or omitting some of the conditions. In particular, we study Kellogg type problems and characterizations of HQC condition.

Keywords: complex functions, planar convex harmonic mappings

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