16 citations · 50 across the 29 of their papers we have counts for
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On the squeezing function for finitely connected planar domains
Pavel Gumenyuk, Oliver Roth
In a recent paper, Ng, Tang and Tsai (Math. Ann. 2020) have found an explicit formula for the squeezing function of an annulus via the Loewner differential equation. Their result h…
Angular extents and trajectory slopes in the theory of holomorphic semigroups in the unit disk
Manuel D. Contreras, Santiago Díaz-Madrigal, Pavel Gumenyuk
We study relationships between the asymptotic behaviour of a non-elliptic semigroup of holomorphic self-maps of the unit disk and the geometry of its planar domain (the image of th…
On existence of Becker extension
Pavel Gumenyuk
A well-known theorem by J. Becker states that if a normalized univalent function in the unit disk can be embedded as the initial element into a Loewner chain $(f_t…
Infinitesimal generators of semigroups with prescribed boundary fixed points
Manuel D. Contreras, Santiago Díaz-Madrigal, Pavel Gumenyuk
We study infinitesimal generators of one-parameter semigroups in the unit disk having prescribed boundary regular fixed points. Using an explicit representation of such…