On rotation-automorphic functions.
On sectorial qualitative cluster sets and directional qualitative cluster sets
On Sets of Range Uniqueness.
On Smoothly Growing Meromorphic Functions.
On some generalizations of the Malmquist theorem.
On Some of Professor Peter Rusev's Contributions
MSC 2010: 33-00, 33C45, 33C52, 30C15, 30D20, 32A17, 32H02, 44A05The 6th International Conference "Transform Methods and Special Functions' 2011", 20 - 23 October 2011 was dedicated to the 80th anniversary of Professor Peter Rusev, as one of the founders of this series of international meetings in Bulgaria, since 1994. It is a pleasure to congratulate the Jubiliar on behalf of the Local Organizing Committee and International Steering Committee, and to present shortly some of his life achievements...
On Some Spaces Of Analytic Functions And Their Duality Relations.
On some theorems on distortion and rotation in the class of k-symmetrical starlike functions of order α
On strong tracts of subharmonic functions of infinite lower order
The notion of a strong asymptotic tract for subharmonic functions is defined. Eremenko's value b(∞,u) for subharmonic functions is introduced and it is used to provide an exact upper estimate of the number of strong tracts of subharmonic functions of infinite lower order. It is also shown that b(∞,u) ≤ π for subharmonic functions of infinite lower order.
On subnormal solutions of periodic differential equations.
On supports of dynamical laminations and biaccessible points in polynomial Julia sets
We use Beurling estimates and Zdunik's theorem to prove that the support of a lamination of the circle corresponding to a connected polynomial Julia set has zero length, unless f is conjugate to a Chebyshev polynomial. Equivalently, except for the Chebyshev case, the biaccessible points in the connected polynomial Julia set have zero harmonic measure.
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