Displaying similar documents to “Lower Schwarz-Pick estimates and angular derivatives.”

Univalent functions with logarithmic restrictions

A. Z. Grinshpan (1991)

Annales Polonici Mathematici

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It is known that univalence property of regular functions is better understood in terms of some restrictions of logarithmic type. Such restrictions are connected with natural stratifications of the studied classes of univalent functions. The stratification of the basic class S of functions regular and univalent in the unit disk by the Grunsky operator norm as well as the more general one of the class 𝔐 * of pairs of univalent functions without common values by the τ-norm (this concept...

On functions satisfying more than one equation of Schiffer type

J. Macura, J. Śladkowska (1993)

Annales Polonici Mathematici

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The paper concerns properties of holomorphic functions satisfying more than one equation of Schiffer type ( D n -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.