Fixed points of univalent functions II

Fixed Points of Univalent Functions Ii

For a closed nowhere dense subset C of ∂D a bounded univalent holomorphic function f on D is found such that C equals the cluster set of its fixed points.

Univalent Functions with Univalent Derivatives. Ii

Convexity of a family of meromorphically univalent functions by using two fixed points

In this paper a new class of meromorphic univalent functions in terms of an integral operator F c (z) = 1 0 cv c f (vz)dv, (c ≥ 1), is defined. We fined some properties of this new class by using of two fixed points.

Fixed Points of Analytic Functions

Fixed points of β - functions

The evidently supersymmetric four-dimensional Wess-Zumino model with quenched disorder is considered at the one-loop level. The infrared fixed points of a betafunction form the moduli space M = RP 2 where two types of phases were found: with and without replica symmetry. While the former phase possesses only a trivial fixed point, this point become unstable in the latter phase which may be inte...