On the 3-segment property for complex-valued functions
On the accessible points in the Julia sets of some entire functions
We prove that for some families of entire functions whose Julia set is the complement of the basin of attraction every branch of a tree of preimages starting from this basin is convergent.
On the angular boundedness of Bloch functions.
On the Angular Derivative of Analytic Functions.
On the angular limits of Bloch functions.
This paper contains a method to associate to each function f in the little Bloch space another function f* in the Bloch space in such way that f has a finite angular limit where f* is radially bounded. The idea of the method comes from the theory of lacunary series. An application to conformal mapping from the unit disc to asymptotically Jordan domains is given.
On the approximation of entire functions over Carathéodory domains
Let be a Carathéodory domain. For , let be the class of all functions holomorphic in such that , where is the area of . For , set consists of all polynomials of degree at most . In this paper we study the growth of an entire function in terms of approximation...
On the asymptotic boundary paths of analytic functions.
On the asymptotic values of locally univalent meromorphic functions.
On the Auxiliary Geometric mean of Entire Functions
On the behavior of meromorphic functions around some nonisolated singularities. II.
On the behavior of meromorphic functions around some nonisolated singularities.
On the Boundary Properties and the Spherical Derivatives of Meromorphic Functions in the Unit Disc.
On the coefficient multipliers of Bloch and Hardy spaces in a polydisk.
On the continuous dependence of local analytic solutions of the functional equation in the non-uniqueness case
On The Difference Of The Number Of Zeros And Poles Of The Members Of Convergent Sequences Of Meromorphic Functions
On the differentiability of T(r,f).
On the disc theorem
Ahlfors' disc theorem for Riemann covering surfaces is extended to normally exhaustible Klein coverings.
On the dynamics of polynomial-like mappings
On the equivalence of Hille's and Robinson's functional equations
On the exceptional set in Nevanlinna's second fundamental theorem in the unit disc.
A general example of an analytic function in the unit disc possessing an exceptional set in Nevanlinna’s second fundamental theorem is built. It is used to show that some conditions on the size of the exceptional set are sharp, extending analogous results for meromorphic functions in the plane.