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Original Articles

Extremal results for a class of univalent functions

Pages 271-279 | Published online: 29 May 2007

  • Cunningham , R. A finite capacity analogue of the Koebe one-quarter theorem . to appear
  • Cunningham , R. Univalent functions of given trans finite diameter: A maximum modulus problem . to appear
  • Duren , P. L. 1983 . Univalent Functions , Heidelberg and New York : Springer-Verlag .
  • Duren , P. L. and Schiffer , M. 1991 . Univalent functions which map onto regions of given transfinite diameter . Trans. Amen Math. Soc. , 323 : 413 – 28 .
  • Goluzin , G. M. 1952, 1987, 1966, 1969 . Geometric Theory of Functions of a Complex Variable , Moscow-Leningrad, Berlin, Moscow, Providence, RI : Gosudarstv. Izdat. Tehn.-Teor. Lit., Deutscher Verlag, Izdat. Nauka, Amer. Math Soc. . German translation: English translation:
  • Hilie , E. 1962, 1987 . Analytic Function Theory , Vol. 2 , Boston, New York : Ginn and Co, Chelsea Publ. .
  • Pòlya , G. and Szëgo , G. 1925, 1976 . “ Aufgaben und Lehrsätze aus der Analysis, Zweiter Band ” . Berlin, New York : Springer-Verlag . English translation “Problems and theorems in analysis
  • Schiffer , M. 1938 . A method of variation variation with the family of simple functions . Proc. London Math. Soc. , 44 : 432 – 449 .

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