Value regions of univalent self-maps with two boundary fixed points
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2018Metadata
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Gumenyuk, P., Prokhorov, D. (2018) Value regions of univalent self-maps with two boundary fixed points. Annales Academiae Scientiarum Fennicae Mathematica, 43(1), pp. 451-462. 10.5186/aasfm.2018.4321Abstract
In this paper we find the exact value region V(z0,T) of the point evaluation functional f → f(z0) 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) = eT and the Denjoy–Wolff point at τ = 1.