An extremal arclength problem in some classes of univalent and p-symmetric functions
Wiesław Majchrzak (1979)
Annales Polonici Mathematici
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Displaying similar documents to “Extremal problems in some classes of univalent functions in a half-plane”
An extremal arclength problem in some classes of univalent and p-symmetric functions
On the estimate of the fourth-order homogeneous coefficient functional for univalent functions
Larisa Gromova, Alexander Vasil'ev (1996)
Annales Polonici Mathematici
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The functional |c₄ + pc₂c₃ + qc³₂| is considered in the class of all univalent holomorphic functions in the unit disk. For real values p and q in some regions of the (p,q)-plane the estimates of this functional are obtained by the area method for univalent functions. Some new regions are found where the Koebe function is extremal.
Properties of Some Extremal Nonvanishing Univalent Functions.
Johnny E. Brown (1984)
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Lachance, M. (1980)
International Journal of Mathematics and Mathematical Sciences
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Annales Academiae Scientiarum Fennicae. Mathematica
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Banach Journal of Mathematical Analysis [electronic only]
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Goodman, A.W. (1979)
International Journal of Mathematics and Mathematical Sciences
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O. Tammi (1967)
Colloquium Mathematicae
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Extremal Length and Univalent Functions, I. The Angular Derivative.
Burton Rodin, Stefan E. Warschawski (1977)
Mathematische Zeitschrift
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J. T. Poole (1968)
Annales Polonici Mathematici
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Józef Baranowicz (1976)
Annales Polonici Mathematici
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Typically real functions and typically real derivatives.
Trimble, S.Y. (1987)
International Journal of Mathematics and Mathematical Sciences
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Two criteria for univalency.
Samaris, N. (1996)
International Journal of Mathematics and Mathematical Sciences
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