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Boundary Behavior of Univalent Harmonic Map**s

A Survey of Recent Boundary Behavior Results of Univalent Harmonic Map**s

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Current Topics in Pure and Computational Complex Analysis

Part of the book series: Trends in Mathematics ((TM))

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Abstract

This chapter is a survey of the boundary behavior properties of univalent harmonic map**s of the unit disk \(\mathbb{D}\) over the last two decades. Particular emphasis has been given to the boundary behavior of univalent harmonic map**s “onto” \(\mathbb{D}\) in the sense of Hengartner and Schober.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Technion, 32000, Haifa, Israel

    Daoud Bshouty

  2. Department of Mathematics, American University of Beirut, Beirut, Lebanon

    Abdallah Lyzzaik

Authors
  1. Daoud Bshouty
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  2. Abdallah Lyzzaik
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Corresponding author

Correspondence to Daoud Bshouty .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Walchand College of Engineering, Sangli, Maharashtra, India

    Santosh Joshi

  2. Department of Mathematics, Brigham Young University, Provo, Utah, USA

    Michael Dorff

  3. Department of Mathematics, University of Kalyani, Kalyani, West Bengal, India

    Indrajit Lahiri

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Bshouty, D., Lyzzaik, A. (2014). Boundary Behavior of Univalent Harmonic Map**s. In: Joshi, S., Dorff, M., Lahiri, I. (eds) Current Topics in Pure and Computational Complex Analysis. Trends in Mathematics. Birkhäuser, New Delhi. https://doi.org/10.1007/978-81-322-2113-5_1

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