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Original Articles

Extrempunkte und stützpunkte in familien nichtverschwindender schlichter funktionen

Pages 153-171 | Published online: 29 May 2007

References

  • Aharonov , D. and Friedland , S. 1973 . On an inequality connected with the coefficient conjecture for functions of bounded boundary rotation . Ann. Acad. Sci. Venn. Ser. AI Math , 524 : 1 – 14 .
  • Biernacki , M. 1936 . Sur la représentation conforme des domaines linéairement accessibles . Prace Math.-Fiz , 44 : 293 – 314 .
  • Brannan , D. A. , Clunie , J. G. and Kirwan , W. E. 1973 . On the coefficient problem for functions of bounded boundary rotation . Ann. Acad. Sci. Fenn. Ser. AI Math , 523 : 1 – 18 .
  • Brickman , L. , MacGregor , T. H. and Wilken , D. R. 1971 . Convex hulls of some classical families of univalent functions . Trans. Amer. Math. Soc , 156 : 91 – 107 .
  • Brickman , L. and Wilken , D. R. 1976 . Subordination and insuperable elements . Mich. Math. J , 23 : 225
  • Brown , J. 1981 . Derivatives of close-to-convex functions, integral means and bounded mean oscillation . Math. Z. , 178 : 353 – 358 .
  • Clunie , J. G. Some remarks on extreme points in function theory, in Aspects of Contemporary Complex Analysis . Proceedings Durham . 1979 . pp. 137 – 146 . New York and London : Academic Press . D. A. Brannan and J. G. Clunie
  • Duren , P. L. 1970 . Theory of Hp Spaces , New York and London : Academic Press .
  • Duren , P. L. 1983 . Univalent Functions , New York-Berlin-Heidelberg-Tokyo : Springer-Verlag .
  • Duren , P. L. and Schober , G. 1980 . Nonvanishing univalent functions . Math. Z. , 170 : 195 – 216 .
  • Duren , P. L. and Schober , G. 1982/1983 . Nonvanishing univalent functions II . Ann. Univ. Marine Curie-Sktodowska Sect. A , 36/37 : 33 – 43 .
  • Duren , P. L. and Schober , G. 1985 . Nonvanishing univalent functions III . Ann. Acad. Sci. Fenn. Ser. AI Math , 10 : 139 – 147 .
  • Grassmann , E. , Hengartner , W. and Schober , G. 1976 . Support points of the class of close-to-convex functions . Can. Math. Bull , 19 : 177 – 179 .
  • Hallenbeck , D. J. and MacGregor , T. H. 1984 . Linear Problems and Convexity Techniques in Geometric Function Theory , Boston-London-Melbourne : Pitman .
  • Herglotz , G. 1911 . Über Potenzreihen mil positivem. reellen Teil im Einheitskreis . Ber Verh. Sächs. 4kad Wiss Leipzig , : 501 – 511 .
  • Hornblower , R. and Wilken , D. R. 1984 . On the support points of close-to-convex functions. Houston J. Math . 10 : 593 – 599 .
  • Kaplan , W. 1952 . Close-io-eonvex schlichi functions . Mich. Math. J. , 1 : 169 – 185 .
  • Lewandowski , Z. 1958 . Sur l'identite de certaines classes de fonctions univalentes I . Ann. Univ. Mariae Curie-Sklodowska Sect. A , 12 : 131 – 146 .
  • Lewandowski , Z. 1960 . Sur l'dentité de certaines classes de fonctions univalentes II . Ann. Univ. Mariae Curie-Sklodowska Sect. A , 14 : 19 – 46 .
  • Paatero , V. 1931 . Über die konforme Abbildung von Gebieten deren Ränder von beschränkter Drehung sind . Ann. Acad. Sci. Fenn. Ser. A , 33 ( 9 ) : 1 – 78 .
  • Phelps , R. R. 1966 . Lectures on Choquet's Theorem , Vol. 7 , Princeton, NJ : Van Nostrand . Van Nostrand Math. Studies
  • Pommerenke , Ch. 1965 . On close-to-convex analytic functions . Trans. Amer. Math. Soc. , 114 : 176 – 186 .
  • Robertson , M. S. 1936 . On the theory of univalent functions . 37 ( 2 ) : 374 – 408 .
  • Schober , G. 1975 . Univalent Functions-Selected Topics , Berlin-Heidelberg-New York : Springer-Verlag .
  • Sheil-Small , T. 1973 . On linearly accessible univalent functions . J. London Math. Soc , 6 ( 2 ) : 385 – 398 .

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