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Arcs on which a univalent function has small magnitude

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1275)

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  • Compact Subset
  • Removeable Singularity
  • Polygonal Path
  • Maximum Modulus Principle
  • Koebe Function

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References

  1. J. Clunie, Private communication.

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  2. R. Nevanlinna and V. Paatero, Introduction to Complex Analysis, Addision-Wesley Publishing Co., 1969.

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  3. T. Sheil-Small, On the Fourier series of a finitely described convex curve and a conjecture of H. S. Shapiro, Math. Proc. Camb. Phil. Soc. 98(1985), p. 513–527.

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  4. J. L. Walsh, Interpolation and Approximation by Rational Functions in the Complex Domain, Am. Math. Soc., 1960.

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  5. S. E. Warschawski, On the higher derivatives at the boundary in conformal mapping, Trans. Am Math. Soc. 38(1935), p.310–340.

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© 1987 Springer-Verlag

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FitzGerald, C.H. (1987). Arcs on which a univalent function has small magnitude. In: Berenstein, C.A. (eds) Complex Analysis I. Lecture Notes in Mathematics, vol 1275. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078348

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  • DOI: https://doi.org/10.1007/BFb0078348

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18356-3

  • Online ISBN: 978-3-540-47899-7

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