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A variational method for univalent functions connected with antigraphy

Janina Macura — 1996

Banach Center Publications

The paper is devoted to a class of functions analytic and univalent in the unit disk that are connected with an antigraphy $e^{i φ} \bar{ω} + i ρ e^{i φ / 2}$ . Variational formulas and Grunsky inequalities are derived. As an application there are given some estimations in the considered class of functions.

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