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math.CV2015★ 1 cited
Chordal Loewner chains with quasiconformal extensions
Pavel Gumenyuk, Ikkei Hotta
In 1972, Becker [J. Reine Angew. Math. 255 (1972), 23-43] discovered a construction of quasiconformal extensions making use of the classical radial Loewner chains. In this paper we…
math.CV2015
Valiron and Abel equations for holomorphic self-maps of the polydisc
Leandro Arosio, Pavel Gumenyuk
We introduce a notion of hyperbolicity and parabolicity for a holomorphic self-map of the polydisc which does not admit fixed points in . We generalize to the…