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On functions satisfying more than one equation of Schiffer type

100%

Macura J., Śladkowska J.

Annales Polonici Mathematici

1993

tom 58

nr 3

237-252

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.

On the univalent, bounded, non-vanishing and symmetric functions in the unit disk

100%

Śladkowska J.

Annales Polonici Mathematici

1996

tom 64

nr 3

291-299

The paper is devoted to a class of functions analytic, univalent, bounded and non-vanishing in the unit disk and in addition, symmetric with respect to the real axis. Variational formulas are derived and, as applications, estimates are given of the first and second coefficients in the considered class of functions.

Ograniczanie wyników

2 Annales Polonici Mathematici

2 Śladkowska J.

1 Macura J.

1 1996

1 1993

Wyniki wyszukiwania

On functions satisfying more than one equation of Schiffer type

On the univalent, bounded, non-vanishing and symmetric functions in the unit disk