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Advances in Complex Function Theory pp 164–203Cite as

Starlike functions as limits of polynomials

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 505))

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References

  1. L. Brickman, D.J. Hallenbeck, T.H. MacGregor and D.R. Wilken, Convex hulls and extreme points of families of starlike and convex mappings, Trans. Amer. Math. Soc. 185(1973), 413–428.

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  3. L. Hörmander, On a theorem of Grace, Math. Scand. 2(1954), 55–64.

    MathSciNet  MATH  Google Scholar 

  4. S. Mansour, On extreme points in two classes of functions with univalent sequential limits, Thesis, University of Kentucky, 1972.

    Google Scholar 

  5. M. Marden, The Geometry of the Zeros of a Polynomial in a Complex Variable, Amer. Math. Soc., Math Surveys no. 3, 1949.

    Google Scholar 

  6. A. Marx, Untersuchungen über schlichte Abbildungen, Math. Ann. 107(1932/33), 40–67.

    Article  MathSciNet  MATH  Google Scholar 

  7. S. Ruscheweyh and T. Sheil-Small, Hadamard products of schlicht functions and the Pólya-Schoenberg conjecture, Comment. Math. Helvet. 48(1973), 119–135.

    Article  MathSciNet  MATH  Google Scholar 

  8. G. Pólya and I.J. Schoenberg, Remarks on de la Vallée Poussin means and convex conformal maps of the circle, Pacific J. Math. 8(1958), 295–334.

    Article  MathSciNet  MATH  Google Scholar 

  9. E. Strohhäcker, Beiträge zur Theorie der schlichten Funktionen, Math. Z. 37(1933), 356–380.

    Article  MathSciNet  MATH  Google Scholar 

  10. T. Suffridge, On univalent polynomials, J. London Math. Soc. 44(1969), 496–504.

    Article  MathSciNet  MATH  Google Scholar 

  11. T. Suffridge, Extreme points in a class of polynomials having univalent sequential limits, Trans. Amer. Math. Soc. 163 (1972), 225–237.

    Article  MathSciNet  MATH  Google Scholar 

  12. T. Suffridge, Convolutions of convex functions, J. Math. Mech. 15(1966), 795–804.

    MathSciNet  MATH  Google Scholar 

  13. G. Szegö, Bemerkungen zu einem Satz von J.H. Grace über die Wurzeln algebraischer Gleichungen, Math. Z., 13(1922), 28–55.

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. University of Kentucky, Lexington, Kentucky

    T. J. Suffridge

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  1. T. J. Suffridge
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William E. Kirwan Lawrence Zalcman

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© 1976 Springer-Verlag

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Suffridge, T.J. (1976). Starlike functions as limits of polynomials. In: Kirwan, W.E., Zalcman, L. (eds) Advances in Complex Function Theory. Lecture Notes in Mathematics, vol 505. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081105

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  • DOI: https://doi.org/10.1007/BFb0081105

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07548-6

  • Online ISBN: 978-3-540-38088-7

  • eBook Packages: Springer Book Archive

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