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Nonvanishing univalent functions

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References

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

    Google Scholar 

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

    Google Scholar 

  3. Brickman, L., Wilken, D.: Support points of the set of univalent functions. Proc. Amer. Math. Soc.42, 523–528 (1974)

    Google Scholar 

  4. Brown, J.E.: Geometric properties of a class of support points of univalent functions. Trans. Amer. Math. Soc.256, 371–382 (1979)

    Google Scholar 

  5. Brown, J.E.: Univalent functions maximizing Re{a 3a 2}. Preprint

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

    Google Scholar 

  7. Duren, P.L.: Extreme points of spaces of univalent functions. In: Linear Spaces and Approximation. Proceedings of a Conference (Oberwolfach 1977), Basel-Stuttgart. Birkhäuser 1978, pp. 471–477

    Google Scholar 

  8. Duren, P.L.: Univalent Functions. Berlin-Heidelberg-New York: Springer (to appear)

  9. FitzGerald, C.H.: Quadratic inequalities and coefficient estimates for schicht functions. Arch. Rational Mech. Anal.46, 356–368 (1972)

    Google Scholar 

  10. Goluzin, G.M.: Geometric Theory of Functions of a Complex Variable. Moscow 1952. German transl.: Berlin: Deutscher Verlag, 1957; English transl; Providence, Rhode Island: American Mathematical Society 1969

  11. Grunsky, H.: Neue Abschätzungen zur konformen Abbildung ein- und mehrfach zusammenhängender Bereiche. Schr. Math. Inst. u. Inst. Angew. Math. Univ. Berlin1, 95–140 (1932)

    Google Scholar 

  12. Hayman, W.K.: Multivalent Functions. Cambridge-London: Cambridge University Press 1958

    Google Scholar 

  13. Hengartner, W., Schober, G.: Extreme points for some classes of univalent functions. Trans. Amer. Math. Soc.185, 265–270 (1973)

    Google Scholar 

  14. Hengartner, W., Schober, G.: Some new properties of support points for compact families of univalent functions in the unit disk. Michigan Math. J.23, 207–216 (1976)

    Google Scholar 

  15. Horowitz, D.: A refinement for coefficient estimates of univalent functions. Proc. Amer. Math. Soc.54, 176–178 (1976)

    Google Scholar 

  16. Hummel, J.A.: Lectures on Variational Methods in the Theory of Univalent Functions. Lecture Notes. College Park: University of Maryland 1972

    Google Scholar 

  17. Jenkins, J.A.: Univalent Functions and Conformal Mapping. Berlin-Göttingen-Heidelberg: Springer 1958

    Google Scholar 

  18. Pfluger, A.: Lineare Extremalprobleme bei schlichten Funktionen. Ann. Acad. Sci. Fenn. Ser. AI, no.489, (1971)

  19. Pommerenke, Ch.: Univalent Functions (with a chapter on quadractic differentials by G. Jensen). Göttingen: Vandenhoeck & Ruprecht, 1975

    Google Scholar 

  20. Schiffer, M.: A method of variation within the family of simple functions. Proc. London Math. Soc. (2)44, 432–449 (1938)

    Google Scholar 

  21. Schober, G.: Univalent Functions-Selected Topics. Lecture Notes in Mathematics478. Berlin-Heidelberg-New York: Springer 1975

    Google Scholar 

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

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Duren, P., Schober, G. Nonvanishing univalent functions. Math Z 170, 195–216 (1980). https://doi.org/10.1007/BF01214860

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