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Neighborhoods of analytic functions

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References

  1. J. E. Brown,Some sharp neighborhoods of univalent functions, Trans. Amer. Math. Soc.287 (1985), 475–482.

    Article  MATH  MathSciNet  Google Scholar 

  2. L. de Branges,A proof of the Bieberbach conjecture, Acta Math.154 (1985), 137–152.

    Article  MATH  MathSciNet  Google Scholar 

  3. R. Fournier,A note on neighbourhoods of univalent functions, Proc. Amer, Math. Soc.87 (1983), 117–120.

    Article  MATH  MathSciNet  Google Scholar 

  4. R. Fournier,On neighborhoods of univalent convex functions, Rocky Mtn. J. Math.16 (1986), 579–589.

    Article  MATH  MathSciNet  Google Scholar 

  5. A. W. Goodman,Univalent functions and nonanalytic curves, Proc. Amer. Math. Soc.8 (1957), 598–601.

    Article  MATH  MathSciNet  Google Scholar 

  6. W. Janowski,Some extremal problems for certain families of analytic functions, Bull. Acad. Pol. Sci.21 (1973), 17–25.

    MATH  MathSciNet  Google Scholar 

  7. W. Kaplan,Close-to-convex schlicht functions, Michigan Math. J.1 (1952), 169–185.

    Article  MATH  MathSciNet  Google Scholar 

  8. St. Ruscheweyh,Über die Faltung schlichter Funktionen, Math. Z.128 (1972), 85–92.

    Article  MATH  MathSciNet  Google Scholar 

  9. St. Ruscheweyh,Duality for Hadamard products with applications to extremal problems for functions regular in the unit disc, Trans. Amer. Math. Soc.210 (1975), 63–74.

    Article  MATH  MathSciNet  Google Scholar 

  10. St. Ruscheweyh,Linear operators between classes of prestarlike functions, Comm. Math. Helv.52 (1977), 497–509.

    Article  MATH  MathSciNet  Google Scholar 

  11. St. Ruscheweyh,Neighborhoods of univalent functions, Proc. Amer. Math. Soc.81 (1981), 521–527.

    Article  MATH  MathSciNet  Google Scholar 

  12. St. Ruscheweyh and T. Sheil-Small,Hadamard products of schlicht functions and the Polya-Schoenberg conjecture, Comm. Math. Helv.48 (1973), 119–135.

    Article  MATH  MathSciNet  Google Scholar 

  13. St. Ruscheweyh and J. Wirths,Über die Faltung schlichter Funktionen II, Math. Z.131 (1973), 11–23.

    Article  MATH  MathSciNet  Google Scholar 

  14. T. Sheil-Small,The Hadamard product and linear transformations of classes of analytic functions, J. Analyse Math.34 (1978), 204–239.

    Article  MATH  MathSciNet  Google Scholar 

  15. T. Sheil-Small, H. Silverman and E. Silvia,Convolution multipliers and starlike functions, J. Analyse Math.41 (1982), 181–192.

    MATH  MathSciNet  Google Scholar 

  16. H. Silverman and E. M. Silvia,Subclasses of starlike functions subordinate to convex functions, Can. J. Math.37 (1985), 48–61.

    MATH  MathSciNet  Google Scholar 

  17. H. Silverman, E. M. Silvia and D. N. Telage,Convolution conditions for convexity, starlikeness and spiral-likeness, Math. Z.162 (1978), 125–130.

    Article  MATH  MathSciNet  Google Scholar 

  18. J. Stankiewicz and Z. Stankiewicz,Some classes of regular functions defined by convolution, inAnalytic Functions, Proc. Conf., Blazejewko, Poland, 1982 (Lecture Notes in Math.1039, Springer-Verlag, Berlin, 1983, pp. 400–408).

    Google Scholar 

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Part of this work was completed while the second author was a Visiting Colleague at the University of Hawaii at Manoa.

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Sheil-Small, T., Silvia, E.M. Neighborhoods of analytic functions. J. Anal. Math. 52, 210–240 (1981). https://doi.org/10.1007/BF02820479

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