251 citations · 287 across the 10 of their papers we have counts for
5 papers · 1 filter
Hypergeometric functions and hyperbolic metric
G. D. Anderson, T. Sugawa, M. K. Vamanamurthy +1
We obtain new inequalities for certain hypergeometric functions. Using these inequalities, we deduce estimates for the hyperbolic metric and the induced distance function on a cert…
Geometric properties of quasiconformal maps
Matti Vuorinen
Our goal is to provide a survey of some topics in quasiconformal analysis of current interest. We try to emphasize ideas and leave proofs and technicalities aside. Several easily s…
On normal families of quasiregular mappings
Shamil Makhmutov, Matti Vuorinen
We discuss the value distribution of quasimeromorphic mappings in with given behavior in a neighborhood of an essential singularity.
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…
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…