Browsing by Subject "Coefficient of quasiconformality"

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On mappings related to the gradient of the conformal radius

Aksent'ev L.; Akhmetova A. (2010)

We establish a criterion for the gradient ∇R(D, z) of the conformal radius of a convex domain D to be conformal: the boundary ∂D must be a circle. We obtain estimates for the coefficients K(r) for the K(r)-quasiconformal ...
On the Coefficients of Quasiconformality for Convex Functions

Avkhadiev F.; Wirths K. (2010)

Let f be holomorpic and univalent in the unit disc E and f(E) be convex. We consider the conformal radius R = R(D,z) = {pipe;} f′(ζ){pipe;}(1-ζ̄) of D = f(E) at the point z = f(ζ). In [3] and [4] the coefficient kf(r), r ...

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