On a certain functional equation in the algebra of polynomials with complex coefficients.
On a class of complex functional equations.
On a conformal-mapping property
On a functional equation occurring in astrophysics.
On a functional equation of Pexider type.
On a functional equation. (Short Communication).
On a functional inequality.
On a generalization of Hille's functional equation
On a system of functional equations.
On an analytic approach to the Fatou conjecture
Let f be a quadratic map (more generally, , d > 1) of the complex plane. We give sufficient conditions for f to have no measurable invariant linefields on its Julia set. We also prove that if the series converges absolutely, then its sum is non-zero. In the proof we use analytic tools, such as integral and transfer (Ruelle-type) operators and approximation theorems.
On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points II
Following the attracting and preperiodic cases, in this paper we prove the existence of weakly repelling fixed points for transcendental meromorphic maps, provided that their Fatou set contains a multiply connected parabolic basin. We use quasi-conformal surgery and virtually repelling fixed point techniques.
On Deficient Values of Meromorphic Functions Satisfying a Certain Functional Equation II
On Entire Functions with Infinite Domains of Normality.
On Ergodic Properties of Inner Functions.
On factorizing meromorphic functions.
On fixed points of extensions of expanding maps in the unit disc
Using a result due to M. Shub, a theorem about the existence of fixed points inside the unit disc for extensions of expanding maps defined on the boundary is established. An application to a special class of rational maps on the Riemann sphere and some considerations on ergodic properties of these maps are also made.
On iterations of Misiurewicz's rational maps on the Riemann sphere
On meromorphic solutions of a certain class of functional-differential equations
On meromorphic solutions of a functional equation.
On meromorphic solutions of a functional equation, II