On an Extremal Problem in Univalent Functions.
Derek Keith Thomas (1969)
Mathematische Zeitschrift
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Derek Keith Thomas (1969)
Mathematische Zeitschrift
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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.
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