Geodesic
Harmonic mappings onto parallel slit domains
Michael Dorff1 ; Maria Nowak2 ; Magdalena Wo/loszkiewicz3
1 Department of Mathematics Brigham Young University Provo, UT 84602, U.S.A.
2 Department of Mathematics Maria Curie-Skłodowska University 20-031 Lublin, Poland
3 Department of Mathematics Maria Curie-Sk/lodowska University 20-031 Lublin, Poland
Annales Polonici Mathematici, Tome 101 (2011) no. 2, pp. 149-162.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We consider typically real harmonic univalent functions in the unit disk $\mathbb D $ whose range is the complex plane slit along infinite intervals on each of the lines $x\pm ib$, $b>0$. They are obtained via the shear construction of conformal mappings of $\mathbb D $ onto the plane without two or four half-lines symmetric with respect to the real axis.
DOI : 10.4064/ap101-2-5
Keywords: consider typically real harmonic univalent functions unit disk mathbb whose range complex plane slit along infinite intervals each lines obtained via shear construction conformal mappings mathbb plane without half lines symmetric respect real axis

Michael Dorff 1 ; Maria Nowak 2 ; Magdalena Wo/loszkiewicz 3

1 Department of Mathematics Brigham Young University Provo, UT 84602, U.S.A.
2 Department of Mathematics Maria Curie-Skłodowska University 20-031 Lublin, Poland
3 Department of Mathematics Maria Curie-Sk/lodowska University 20-031 Lublin, Poland 
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Michael Dorff; Maria Nowak; Magdalena Wo/loszkiewicz. Harmonic mappings onto parallel slit domains. Annales Polonici Mathematici, Tome 101 (2011) no. 2, pp. 149-162. doi : 10.4064/ap101-2-5. http://geodesic.mathdoc.fr/articles/10.4064/ap101-2-5/

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