3 citations · 8 across the 4 of their papers we have counts for
4 papers
Loewner Theory in annulus II: Loewner chains
Manuel D. Contreras, Santiago Diaz-Madrigal, Pavel Gumenyuk
Loewner Theory, based on dynamical viewpoint, proved itself to be a powerful tool in Complex Analysis and its applications. Recently Bracci et al [Bracci et al, to appear in J. Rei…
Loewner Theory in annulus I: evolution families and differential equations
Manuel D. Contreras, Santiago Diaz-Madrigal, Pavel Gumenyuk
Loewner Theory, based on dynamical viewpoint, is a powerful tool in Complex Analysis, which plays a crucial role in such important achievements as the proof of famous Bieberbach's…
Loewner chains in the unit disk
Manuel D. Contreras, Santiago Diaz-Madrigal, Pavel Gumenyuk
In this paper we introduce a general version of the notion of Loewner chains which comes from the new and unified treatment, given in [arXiv:0807.1594], of the radial and chordal v…
Matching univalent functions and conformal welding
Erlend Grong, Pavel Gumenyuk, Alexander Vasil'ev
Given a conformal mapping of the unit disk onto a simply connected domain in the complex plane bounded by a closed Jordan curve, we consider the problem of cons…