16 citations · 50 across the 29 of their papers we have counts for
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math.CV2024★ 1 cited
Hyperbolic convexity of holomorphic level sets
Iason Efraimidis, Pavel Gumenyuk
We prove that the sublevel set , , is geodesically convex with resp…
math.CV2024★ 1 cited
Hyperbolic distortion and conformality at the boundary
Pavel Gumenyuk, Maria Kourou, Annika Moucha +1
We characterize two classical types of conformality of a holomorphic self-map of the unit disk at a boundary point - existence of a finite angular derivative in the sense of Carath…
math.CV2024★ 2 cited
Criteria for extension of commutativity to fractional iterates of holomorphic self-maps in the unit disc
Manuel D. Contreras, Santiago Díaz-Madrigal, Pavel Gumenyuk
Let be a univalent non-elliptic self-map of the unit disc and let be a continuous one-parameter semigroup of holomorphic functions in such tha…