2 papers
math.CV2003
Ullemar's formula for the Jacobian of the complex moment mapping
Olga S. Kuznetsova, Vladimir G. Tkachev
The complex moment sequence m(P) is assigned to a univalent polynomial P by the Cauchy transform of the P(D), where D is the unit disk. We establish the representation of the Jacob…
math.CV2003
Length functions of lemniscates
Olga Kuznetsova, Vladimir Tkachev
We study metric and analytic properties of generalized lemniscates E_t(f)={z:ln|f(z)|=t}, where f is an analytic function. Our main result states that the length function |E_t(f)|…