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In [2], the authors introduce the Keldych-Sedov formula for analytic functions in the upper half-plane, namely the representation of solutions of the mixed boundary value problem for analytic functi...
Abstract: We prove some sharp extremal distance results for functions in weighted Bergman spaces on the upper halfplane.We also prove such results in the context of bounded strictly pseudoconvex domai...
Abstract: We review a result obtained with Andrew Ledoan and Marco Merkli. Consider a random analytic function $f(z) = \sum_{n=0}^{\infty} a_n X_n z^n$, where the $X_n$'s are i.i.d., complex valued ra...
Abstract: This is a sequel of a recent article by Borichev-Golinskii-Kupin, where the authors obtain Blaschke-type conditions for special classes of analytic functions in the unit disk which satisfy c...
For each n,N ≥ 1 let IN(Dn) denote the set of rational inner functions on Dn of degree strictly less than N. We construct a set of points 1, ..., Nn ∈ Dn with the following property: if f IN(Dn) a...
Исследуется сходимость диагональных нелинейных аппрокси-маций Паде–Чебышёва для многозначных аналитических функ-ций, заданных и вещественнозначных на единичном отрезке [−1, 1].Получен аналог кла...
Let K be a p-adic field, and suppose that f and g are germs of analytic functions on K which are tangent to the identity at 0. It is known that f and g are homeomorphically equivalent, meaning there ...
Necessary and sufficient conditions for the existence of limits of the form {equation*} \lim_{(x,y)\rightarrow (a,b)}\frac{f(x,y)}{g(x,y)} {equation*} are given, under the hipothesis that $f$ and $g$...
We use the familiar convolution structure of analytic functions to introduce new class of analytic functions of complex order. The results investigated in the present paper include, the characterizati...
Inclusion properties of these classes and the classes involving the generalized Libera integral operator are also considered
In this paper we introduce a new subclass of normalized analytic functions in the open unit disc which is defined by the Al-Oboudi differential operator. A coefficient inequality, extreme points and i...
The purpose of the present paper is to investigate some argument properties for certain analytic functions in the open unit disk associated with the convolution structure. Some interesting application...
New classes of analytic functions are defined. We give some applications of first order differential subordination obtain sufficient conditions for normalized analytic functions.
In this present investigation, the authors obtain Fekete-Szeg¨o inequality for certain normalized analytic function f(z) defined on the open unit disc for which z(Dn λf(z))Dn λf(z) , (n N0, λ ≥ 0)...
Using Salagean differential operator, we study new subclasses of analytic functions. Coefficient inequalities and distortion theorems and extreme points of these classes are studied. Furthermore, inte...

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