A variational method for univalent functions connected with antigraphy

Volume 37 / 1996

Janina Macura Banach Center Publications 37 (1996), 21-28 DOI: 10.4064/-37-1-21-28


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


  • Janina Macura

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