Geodesic
Univalent Harmonic Ring Mappings Vanishing on the Interior Boundary
Canadian journal of mathematics, Tome 44 (1992) no. 2, pp. 308-323

Voir la notice de l'article provenant de la source Cambridge University Press

We give a characterization of univalent positively oriented harmonic mappings ƒ defined on an exterior neighbourhood of the closed unit disk { z: | z| ≤1} such that .
DOI : 10.4153/CJM-1992-021-x
Mots-clés : 30C55 
Hengartner, Walter; Szynal, Jan. Univalent Harmonic Ring Mappings Vanishing on the Interior Boundary. Canadian journal of mathematics, Tome 44 (1992) no. 2, pp. 308-323. doi: 10.4153/CJM-1992-021-x
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[1] 1. Bers, L., Theory of pseudo-analytic functions, Lecture notes (mimeographed), New York University 1953; An outline of the theory of pseudo-analytic functions, Bull. Amer. Math. Soc. 62(1956), 291–331. Google Scholar

[2] 2. Dundu, L.E.čenko, Certain extremal properties of analytic functions given in a circle and in a circular ring, Ukrain. Mat. ž., 8(1956), 377–325. Google Scholar

[3] 3. Hengartner, W. and Schober, G., Harmonic mappings with given dilation, J. London Mat. Soc. (2) 33(1986), 473–483. Google Scholar

[4] 4. Hengartner, W., Univalent harmonic exterior and ring mappings, J. Math. Anal. Appl. 156(1991), 154–171. Google Scholar

[5] 5. Komatu, Y., On analytic functions with positive real part in an annulus, Kodai Math. Rep. 10(1958), 84–100. Google Scholar

[6] 6. Livingston, A.E. and Pfaltzgraff, J.A., Structure and extremal problems for classes of functions analytic in an annulus, Colloq. Math., 43(1980), 161–181. Google Scholar

[7] 7. Zmorovi, V.A.č, On some classes of analytic functions in a circular ring, Mat. Sc. 32(74) (1953), 633–652. Google Scholar

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