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Conformal mappings onto domains with arbitrarily specified boundary shapes

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References

  1. N.-S. Chow, J. Mallet-Paret and J. A. Yorke,Finding zeros of maps: homotopy methods that are constructive with probability one, Math. Comp.32 (1978), 887–899.

    Article  MATH  MathSciNet  Google Scholar 

  2. N.-S. Chow, J. Mallet-Paret and J. A. Yorke,A homotopy method for locating all zeros of a system of polynomials, inFunctional Differential Equations and Approximation of Fixed Points: Proceedings, Bonn. July 1978, Heinz-Otto Peitgen and Hans-Otto Walther (eds.), Springer-Verlag, New York, 1978, pp. 228–237.

    Google Scholar 

  3. R. Courant, B. Manel and M. Shiffman,A general theorem on conformal mappings of multiply connected domains, Proc. Natl. Acad. Sci. U.S.A.26 (1940), 503–507.

    Article  MATH  MathSciNet  Google Scholar 

  4. G. M. Goluzin,Geometric Theory of Functions of a Complex Variable, AMS, Providence, 1969.

    MATH  Google Scholar 

  5. H. Grunsky,Über konforme Abbildungen, die gewisse Gebietsfunktionen in elementare Funktionen transformieren, I and II, Math. Z.67 (1957), 129–132, 223–228.

    Article  MATH  MathSciNet  Google Scholar 

  6. I. Lind,Some problems related to iterative methods in conformal mapping, Ark. Mat.7 (1967), 101–143.

    Article  MATH  MathSciNet  Google Scholar 

  7. M. M. Schiffer,Some Recent Developments in the Theory of Conformal Mapping. Appendix of Dirichlet's Principle, Conformal Mapping, and Minimal Surfaces, by R. Courant. Interscience, New York, 1950.

    Google Scholar 

  8. M. Shiffmann,Uniqueness theorems for conformal mappings of multiply connected domains, Proc. Natl. Acad. Sci. U.S.A.27 (1941), 137–139.

    Article  Google Scholar 

  9. J. L. Walsh,The Location of Critical Points of Analytic and Harmonic Functions, AMS, New York, 1950.

    MATH  Google Scholar 

  10. J. L. Walsh,On the conformal mappings of multiply connected regions, Trans. Am. Math. Soc.82 (1956), 128–146.

    Article  MATH  Google Scholar 

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  1. School of Mathematics, Georgia Institute of Technology, 30332, Atlanta, GA, USA

    Andrew N. Harrington

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  1. Andrew N. Harrington
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Harrington, A.N. Conformal mappings onto domains with arbitrarily specified boundary shapes. J. Anal. Math. 41, 39–53 (1982). https://doi.org/10.1007/BF02803393

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  • DOI: https://doi.org/10.1007/BF02803393

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