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On the second variation for univalent functions

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References

  1. E. Bombieri,On the local maximum property of the Koebe function, Invent. Math.4 (1967), 26–67.

    Article  MATH  MathSciNet  Google Scholar 

  2. P. L. Duren,Coefficients of univalent functions, Bull. Amer. Math. Soc.,83 (1977), 891–911.

    MATH  MathSciNet  Google Scholar 

  3. P. L. Duren and M. Schiffer,The theory of the second variation in extremum problems for univalent functions, J. Analyse Math.10 (1962/63), 193–252.

    Article  MathSciNet  Google Scholar 

  4. Y. Kubota,Coefficients of meromorphic univalent functions, Kōdai Math. Sem. Rep.28 (1977), 253–261.

    Article  MATH  MathSciNet  Google Scholar 

  5. M. Schiffer,A method of variation within the family of simple functions, Proc. London Math. Soc.44 (1938), 432–449.

    Article  MATH  Google Scholar 

  6. M. Schiffer,On the coefficients of simple functions, Proc. London Math. Soc.44 (1938), 450–452.

    Article  MATH  Google Scholar 

  7. M. Schiffer,Variation of the Green function and theory of the p-valued functions, Amer. J. Math.65 (1943), 341–360.

    Article  MATH  MathSciNet  Google Scholar 

  8. M. Schiffer,On the coefficient problem for univalent functions, Trans. Amer. Math. Soc.134 (1968), 95–101.

    Article  MATH  MathSciNet  Google Scholar 

  9. G. Schober,Univalent Functions—Selected Topics, Springer-Verlag Lecture Notes in Math. #478, (1975).

  10. G. Schober,Coefficients of inverses of meromorphic univalent functions, Proc. Amer. Math. Soc.67 (1977), 111–116.

    Article  MATH  MathSciNet  Google Scholar 

  11. G. Schober,Coefficients of inverses of univalent functions with quasi-conformal extensions, Kodai Math. J.2 (1979), 411–419.

    Article  MATH  MathSciNet  Google Scholar 

  12. G. Springer,The coefficient problem for schlicht mappings of the exterior of the unit circle, Trans. Amer. Math. Soc.,70 (1951), 421–450.

    Article  MATH  MathSciNet  Google Scholar 

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This work was supported in part by grants from the National Science Foundation.

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Chang, A., Schiffer, M.M. & Schober, G. On the second variation for univalent functions. J. Anal. Math. 40, 203–238 (1981). https://doi.org/10.1007/BF02790163

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