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Logarithmic coefficients of univalent functions

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References

  1. J. M. Anderson, K. F. Barth and D. A. Brannan,Research problems in complex analysis, Bull. London Math. Soc.9 (1977), 129–162.

    Article  MATH  MathSciNet  Google Scholar 

  2. A. Baernstein,Integral means, univalent functions and circular symmetrization, Acta Math.133 (1974), 139–169.

    Article  MathSciNet  Google Scholar 

  3. A. Baernstein,Univalence and bounded mean oscillation, Michigan Math. J.23 (1976), 217–223.

    Article  MATH  MathSciNet  Google Scholar 

  4. L. Brickman,Extreme points of the set of univalent functions, Bull. Amer. Math. Soc.76 (1970), 372–374.

    Article  MATH  MathSciNet  Google Scholar 

  5. J. A. Cima and K. E. Petersen,Some analytic functions whose boundary values have bounded mean oscillation, Math. Z.147 (1976), 237–247.

    Article  MATH  MathSciNet  Google Scholar 

  6. J. A. Cima and G. Schober,Analytic functions with bounded mean oscillation and logarithms of H p functions, Math. Z.151 (1976), 295–300.

    Article  MATH  MathSciNet  Google Scholar 

  7. P. L. Duren,Theory of H p Spaces, Academic Press, New York, 1970.

    MATH  Google Scholar 

  8. P. L. Duren,Univalent Functions, Springer-Verlag, Heidelberg and New York, to appear.

  9. P. J. Eenigenburg and F. R. Keogh,The Hardy class of some univalent functions and their derivatives, Michigan Math. J.17 (1970), 335–346.

    Article  MATH  MathSciNet  Google Scholar 

  10. A. Z. Grinspan,Logarithmic coefficients of functions in the class S, Sibirsk. Mat. Z.13 (1972), 1145–1157, 1199 (in Russian)=Siberian Math. J.13 (1972), 793–801.

    MathSciNet  Google Scholar 

  11. G. Halász,Tauberian theorems for univalent functions, Studia Sci. Math. Hungar.4 (1969), 421–440.

    MATH  MathSciNet  Google Scholar 

  12. W. K. Hayman,The logarithmic derivative of multivalent functions, Michigan Math. J., to appear.

  13. I. M. Milin,Univalent Functions and Orthonormal Systems, Izdat. “Nauka”, Moscow, 1971 (in Russian); English transl., Amer. Math. Soc., Providence, R.I., 1977.

    MATH  Google Scholar 

  14. Ch. Pommerenke,Relations between the coefficients of a univalent function, Invent. Math.3 (1967), 1–15.

    Article  MATH  MathSciNet  Google Scholar 

  15. Ch. Pommerenke,Univalent Functions, Vandenhoeck und Ruprecht, Göttingen, 1975.

    MATH  Google Scholar 

  16. G. Schober,Univalent Functions—Selected Topics, Lecture Notes in Math., No. 478, Springer-Verlag, 1975.

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Authors and Affiliations

  1. Department of Mathematics, University of Michigan, 48109, Ann Arbor, Michigan, USA

    P. L. Duren & Y. J. Leung

  2. Department of Mathematics, State University of New York at Albany, 12222, Albany, New York, USA

    P. L. Duren & Y. J. Leung

Authors
  1. P. L. Duren
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  2. Y. J. Leung
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Dedicated to the memory of Zeev Nehari

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Duren, P.L., Leung, Y.J. Logarithmic coefficients of univalent functions. J. Anal. Math. 36, 36–43 (1979). https://doi.org/10.1007/BF02798766

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