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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...
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...
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 Starlikeness and Convexity of Analytic Functions Satisfying a Differential Inequality
Multivalent function Starlike function Convex function Multiplier transformation
2010/1/22
In the present paper, the authors investigate a differential inequality defined by multiplier transformation in the open unit disk E = {z:|z|
Essential Spectra of Composition Operators on the Space of Bounded Analytic Functions
Essential Spectra Bounded Analytic Functions Composition Operators
2010/2/25
In this small note we characterize the essential spectra of a class of composition operators on H\infty(H) of the upper half-plane H and on H\infty(D) of the unit disc D. These composition operators a...
Some Radius Problem for Certain Families of Analytic Functions
Subordination principle Carathedory functions Janowski Starlike functions Starlike functions of order b The radius of Starlikeness The radius of convexity The radius of a-convexity
2010/3/1
The aim of this paper is to give bounds of the radius of a -convexity for certain families of analytic functions in the unit disc. The radius of a -convexity is generalization of the radius of convexi...
SOME APPLICATIONS OF FRACTIONAL CALCULUS OPERATORS TO A CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS
FRACTIONAL CALCULUS OPERATORS ANALYTIC FUNCTIONS NEGATIVE COEFFICIENTS
2010/3/17
The object of the present paper is to prove various distortion theorems for the fractional calculus of functions in the class Tn\left(l,a\right) consisting of analytic and univalent functions with neg...