Harmonic typically real mappings

Author:

Bshouty D.,Hengartner W.,Hossian O.

Abstract

AbstractWe give an example of a univalent orientation-preserving harmonic mapping f = h + defined on the unit disc U which is real on the real axis, satisfies and is not typically real. Furthermore, we give a geometric characterization for univalent, harmonic and typically real mappings.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference9 articles.

1. Univalent solutions of the Dirichlet problem for ring domains;Bshouty;Complex Variables,1993

2. Mapping by p-regular functions

3. Generalized solutions of a system of differential equations of first order and elliptic type with discontinuous coefficients;Boyarski;Mat. Sb. N.S.,1957

4. A constructive method for starlike harmonic mappings

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