In this paper we find the exact value region V(z 0 ; T) of the point evaluation functional f f(z 0 ) over the class of all holomorphic injective self-maps f: D → D of the unit disk D having a boundary regular fixed point at σ = -1 with f'(-1) = e T and the Denjoy-Wolff point at τ = 1.

Value regions of univalent self-maps with two boundary fixed points

Gumenyuk P.;
2018-01-01

Abstract

In this paper we find the exact value region V(z 0 ; T) of the point evaluation functional f f(z 0 ) over the class of all holomorphic injective self-maps f: D → D of the unit disk D having a boundary regular fixed point at σ = -1 with f'(-1) = e T and the Denjoy-Wolff point at τ = 1.
2018
Angular derivative
Denjoy-Wolff point
Extremal problem
Holomorphic self-map
Univalent function
Value region
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1152054
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