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Complex Variables, Theory and Application: An International Journal Volume 5, 1986 - Issue 2-4
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Original Articles

On the boundary behavior of orientation-preserving harmonic mappings

W. Hengartner Université Laval, Québec, P.Q., G1K 7P4, Canada
&
G. Schober Université Laval, Québec, P.Q., G1K 7P4, Canada
Pages 197-208 | Published online: 29 May 2007

Citations (24)

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Read on this site (4)

Rosihan M. Ali, Zayid Abdulhadi & Zhen Chuan Ng. (2016) The Bohr radius for starlike logharmonic mappings. Complex Variables and Elliptic Equations 61:1, pages 1-14.
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Daoud Bshouty & Allen Weitsman. (2003) On the Gauss Map of Minimal Graphs. Complex Variables, Theory and Application: An International Journal 48:4, pages 339-346.
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Peter Duren & Dmitry Khavinson. (1997) Boundary correspondence and dilatation of harmonic mappings. Complex Variables, Theory and Application: An International Journal 33:1-4, pages 105-111.
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Michael Dorff & Ted Suffridge. (1997) The inner mapping radius of harmonic mappings of the unit disk. Complex Variables, Theory and Application: An International Journal 33:1-4, pages 97-103.
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Articles from other publishers (20)

Jane McDougall & Lauren Stierman. (2021) Rosette Harmonic Mappings. Complex Analysis and Operator Theory 15:4.
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Layan El Hajj. (2017) On the univalence of polyharmonic mappings. Journal of Mathematical Analysis and Applications 452:2, pages 871-882.
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Z. AbdulHadi & Rosihan M. Ali. (2015) On rotationally starlike logharmonic mappings. Mathematische Nachrichten 288:7, pages 723-729.
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Zayid AbdulHadi, Najla M Alareefi & Rosihan M Ali. (2014) On the convex-exponent product of logharmonic mappings. Journal of Inequalities and Applications 2014:1.
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S. I. Bezrodnykh & V. I. Vlasov. (2014) On a Problem of the Constructive Theory of Harmonic Mappings. Journal of Mathematical Sciences 201:6, pages 705-732.
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Zayid Abdulhadi. (2014) A New Look for Starlike Logharmonic Mappings. Applied Mathematics 05:07, pages 1053-1060.
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Daoud Bshouty & Abdallah Lyzzaik. 2014. Current Topics in Pure and Computational Complex Analysis. Current Topics in Pure and Computational Complex Analysis 1 19 .
Jane McDougall & Lisbeth Schaubroeck. (2008) Minimal surfaces over stars. Journal of Mathematical Analysis and Applications 340:1, pages 721-738.
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D. Bshouty, A. Lyzzaik & A. Weitsman. (2007) Uniqueness of harmonic mappings with Blaschke dilatations. The Journal of Geometric Analysis 17:1, pages 41-47.
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Peter Duren, Jane McDougall & Lisbeth Schaubroeck. (2005) Harmonic mappings onto stars. Journal of Mathematical Analysis and Applications 307:1, pages 312-320.
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D. Bshouty & W. Hengartner. 2005. Geometric Function Theory. Geometric Function Theory 479 506 .
Martin Chuaqui, Peter Duren & Brad Osgood. (2013) Curvature Properties of Planar Harmonic Mappings. Computational Methods and Function Theory 4:1, pages 127-142.
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Paul Greiner. (2013) Geometric Properties of Harmonic Shears. Computational Methods and Function Theory 4:1, pages 77-96.
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Peter Duren. 2009. Harmonic Mappings in the Plane. Harmonic Mappings in the Plane.
Allen Weitsman. (2000) On univalent harmonic mappings and minimal surfaces. Pacific Journal of Mathematics 192:1, pages 191-200.
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Allen Weitsman. (1998) On the dilatation of univalent planar harmonic mappings. Proceedings of the American Mathematical Society 126:2, pages 447-452.
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D. Bshouty & W. Hengartner. (1997) Boundary values versus dilatations of harmonic mappings. Journal d'Analyse Mathématique 72:1, pages 141-164.
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D. Bshouty & W. Hengartner. 1992. Approximation by Solutions of Partial Differential Equations. Approximation by Solutions of Partial Differential Equations 51 60 .
Walter Hengartner & Glenn Schober. (1991) Univalent harmonic exterior and ring mappings. Journal of Mathematical Analysis and Applications 156:1, pages 154-171.
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D. Bshouty, N. Hengartner & W. Hengartner. (1989) A constructive method for starlike harmonic mappings. Numerische Mathematik 54:2, pages 167-178.
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