Rational approximation of extremal length for doubly connected domains
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- by C. Wayne Mastin
- Proc. Amer. Math. Soc. 42 (1974), 430-436
- DOI: https://doi.org/10.1090/S0002-9939-1974-0328060-1
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Abstract:
Results on the approximation of analytic functions are used to approximate the extremal length of the family of curves separating the boundary components of a doubly connected domain. Bounds for the approximations are established.References
- James A. Jenkins, Univalent functions and conformal mapping, Reihe: Moderne Funktionentheorie, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1958. MR 0096806
- L. V. Kantorovich and V. I. Krylov, Approximate methods of higher analysis, Interscience Publishers, Inc., New York; P. Noordhoff Ltd., Groningen 1958. Translated from the 3rd Russian edition by C. D. Benster. MR 0106537
- Herbert Meschkowski, Hilbertsche Räume mit Kernfunktion, Die Grundlehren der mathematischen Wissenschaften, Band 113, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1962 (German). MR 0140912
Bibliographic Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 42 (1974), 430-436
- MSC: Primary 30A40
- DOI: https://doi.org/10.1090/S0002-9939-1974-0328060-1
- MathSciNet review: 0328060