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Inverse coefficients four functions of bounded boundary rotation

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References

  1. D. Aharonov and S. Friedland,On an inequality connected with the coefficient conjecture for functions of bounded boundary rotation, Ann. Acad. Sci. Fenn. AI524 (1972).

  2. D. A. Brannan,On coefficient problems for certain power series, London Math. Soc. Lecture Note Series12 (1974), 17–27.

    MathSciNet  Google Scholar 

  3. D. A. Brannan, J. G. Clunie and W. E. Kirwan,On the coefficient problem for function of bounded boundary rotation. Ann. Acad. Sci. Fenn. AI 523 (1973).

  4. H. B. Coonce,A variational method for functions of bounded boundary rotation, Trans. Amer. Math. Soc.157 (1971), 39–51.

    Article  MATH  MathSciNet  Google Scholar 

  5. J. A. Hummel,The coefficient regions of starlike functions, Proc. Amer. Math. Soc.11 (1960), 741–749.

    Article  MATH  MathSciNet  Google Scholar 

  6. F. Keogh and E. Merkes,A coefficient inequality for certain classes of analytic functions, Proc. Amer. Math. Soc.20 (1968), 8–12.

    Article  MathSciNet  Google Scholar 

  7. O. Lehto,On the distortion of conformal mappings with bounded boundary rotation, Ann. Acad. Sci. Fenn. Ser AI124 (1952).

  8. K. Löwner,Untersuchungen über schlichte konforme Abbildungen des Einheitskreises I, Math. Ann.89 (1923), 103–121.

    Article  MathSciNet  Google Scholar 

  9. A. Marx,Untersuchungen über schlichte Abbildungen, Math. Ann.107 (1932/1933), 40–67.

    Article  MATH  MathSciNet  Google Scholar 

  10. V. Paatero,Über die konforme Abbildung von Gebieten deren Ränder von beschränkter Drehung sind, Ann. Acad. Sci. Fenn. A33 (1931).

  11. M. Schiffer and O. Tammi,On the fourth coefficient of univalent functions with bounded boundary rotation, Ann. Acad. Sci. Fenn. A396 (1967).

  12. E. Strohäcker,Beitrage zur Theorie der schlichten Funktionen, Math. Z.37 (1933), 356–380.

    Article  MathSciNet  Google Scholar 

  13. H. Haario,On coefficient bodies of univalent functions, Ann. Acad. Sci. Fenn. Ser AI, Math. Dissertationes22 (1978).

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Authors and Affiliations

  1. Department of Mathematics, University of Maryland, 20742, College Park, Maryland, USA

    W. E. Kirwan & G. Schober

  2. Department of Mathematics, Indiana University, 47401, Bloomington, Indiana, USA

    W. E. Kirwan & G. Schober

Authors
  1. W. E. Kirwan
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  2. G. Schober
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In memory of Zeev Nehari

The research of both authors was supported in part by grants from the National Science Foundation.

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Kirwan, W.E., Schober, G. Inverse coefficients four functions of bounded boundary rotation. J. Anal. Math. 36, 167–178 (1979). https://doi.org/10.1007/BF02798776

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