On the continuous dependence of local analytic solutions of the functional equation in the non-uniqueness case
On the dynamics of polynomial-like mappings
On the equivalence of Hille's and Robinson's functional equations
On the existence of meromorphic solutions of differential equations having arbitarily rapid growth.
On the functional equation.
On the Hausdorff dimension of Julia sets of meromorphic functions. II
On the Hausdorff dimension of Julia sets of meromorphic functions. I
On the instability of Herman rings.
On the iteration of entire functions
On the limit functions of iterates in wandering domains.
On the mulitplier of a repelling fixed point.
On the singularities of the inverse to a meromorphic function of finite order.
Our main result implies the following theorem: Let f be a transcendental meromorphic function in the complex plane. If f has finite order ρ, then every asymptotic value of f, except at most 2ρ of them, is a limit point of critical values of f.We give several applications of this theorem. For example we prove that if f is a transcendental meromorphic function then f'fn with n ≥ 1 takes every finite non-zero value infinitely often. This proves a conjecture of Hayman. The proof makes use of the iteration...
On the Weierstrass functions, Sigma, Zeta, Pe, and their functional and differential equations.
On the Weierstrass functions, Sigma, Zeta, Pe, and their functional and differential equations. (Short Communication).
On Two Functional Equations Connected with a Mean-Value Property of Polynomials
On Two Functional Equations Connected with a Mean-Value Property of Polynomials (Short Communication)
On two new functional equations for generalized Joukowski transformations
The purpose of this paper is to solve two functional equations for generalized Joukowski transformations and to give a geometric interpretation to one of them. Here the Joukowski transformation means the function of a complex variable z.
One-parameter system of functional equation. (Summary).
Operating with external arguments of Douady and Hubbard.
Operational identities for circular and hyperbolic functions and their generalizations.