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math.CV2007★ 2 cited
Robin functions and distortion theorems for regular mappings
Vladimir N. Dubinin, Matti Vuorinen
Capacities of generalized condensers are applied to prove a two-point distortion theorem for conformal mappings. The result is expressed in terms of the Robin function and the Robi…
math.CV2007★ 4 cited
On conformal moduli of polygonal quadrilaterals
V. N. Dubinin, M. Vuorinen
The change of conformal moduli of polygonal quadrilaterals under some geometric transformations is studied. We consider the motion of one vertex when the other vertices remain fixe…