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The Discontinuous Riemann-Hilbert problem for analytic functions in multiply connected domains
Discontinuous Riemann-Hilbert problems analytic functions A priori estimates and existence of solutions
2014/9/26
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...
Some remarks on extremal problems in weighted Bergman spaces of analytic functions
weighted Bergman spaces of analytic functions Complex Variables
2011/9/19
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...
Universality of Correlations for Random Analytic Functions
Universality of Correlations Random Analytic Functions Probability
2011/9/16
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...
A Blaschke-type condition for analytic functions on finitely connected domains. Applications to complex perturbations of a finite-band selfadjoint operator
Blaschke-type estimates Lieb Thirring type inequalities finite-band selfadjoint operators complex compact perturbation
2011/7/27
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...
A uniqueness theorem for bounded analytic functions on the polydisc
uniqueness theorem bounded analytic functions polydisc
2011/2/21
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...
On the convergence on nonlinear Padé--Chebyshev approximations to the multivalued analytic functions, variation of equilibrium energy and $S$-property of stationary compacts
convergence on nonlinear Padé--Chebyshev approximations to the multivalued analytic functions variation of equilibrium energy $S$-property of stationary compacts
2011/1/17
Исследуется сходимость диагональных нелинейных аппрокси-маций Паде–Чебышёва для многозначных аналитических функ-ций, заданных и вещественнозначных на единичном отрезке [−1, 1].Получен аналог кла...
Lipeomorphic equivalence for p-adic analytic functions: a comparison between complex and p-adic dynamics
p-adic analytic functions complex p-adic dynamics
2010/11/17
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 ...
Limits of quotients of real analytic functions in two variables
quotients real analytic functions variables
2010/11/12
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 $g$...
Subordination Theorem for a Family of Analytic Functions Associated With the Convolution Structure
Analytic function Hadamard product(or convolution) Dziok-Srivastava linear operator Subordination factor sequence Characterization properties
2010/1/22
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...
On certain subclasses of analytic functions defined by a multiplier transformation with two parameters
Analytic functions Multiplier transformation
2010/9/14
Inclusion properties of these classes and the classes involving the generalized Libera integral operator are also considered
On a Certain Subclass of Analytic Functions Involving the Al-Oboudi Differential Operator
Close-to-convex function Close-to-starlike function Ruscheweyh derivative operator Al-Oboudi differential operator and subordination relationship
2010/1/22
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...
Argument Estimates For Certain Analytic Functions Associated With The Convolution Structure
Argument estimate Subordination Univalent function Hadamard product(or convolution) Dziok-Srivastava operator
2010/1/22
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...
On subordination theorems for new classes of normalize analytic functions
Fractional calculus Subordination
2010/9/14
New classes of analytic functions are defined. We give some applications of first order differential subordination obtain sufficient conditions for normalized analytic functions.
On Fekete-Szego problems for certain subclass of analytic functions
Analytic functions Subordination Starlike function,
2010/9/10
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)...
Certain Classes of Analytic Functions Involving Salagean Operator
Salagean operator coefficient inequalities distortion inequalities extreme points integral means fractional derivative
2010/1/22
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...