The paper concerns properties of holomorphic functions satisfying more than one equation of Schiffer type (Dn-equation). Such equations are satisfied, in particular, by functions that are extremal (in various classes of univalent functions) with respect to functionals depending on a finite number of coefficients.
The paper is devoted to a class of functions analytic and univalent in the unit disk that are connected with an antigraphy e iϕ w + iρe 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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