Results 21 to 30 of about 317,748 (260)

On a version of Trudinger-Moser inequality with M\"obius shift invariance [PDF]

, 2009
The paper raises a question about the optimal critical nonlinearity for the Sobolev space in two dimensions, connected to loss of compactness, and discusses the pertinent concentration compactness framework. We study properties of the improved version of
Adimurthi, Tintarev, K.
core   +2 more sources

Fekete Szego coefficient for the Janowski \alpha-spirallike functions in open unit disk

International Journal of Mathematical Analysis, 2014
The aim of this paper is to gives sharp bound of the Fekete Szego coefficient functional for the Janowski α-Spirallike functions associated with the k th root transformation.
S. Annamalai, C. Ramachandran, G. Murugusundaramoorthy   +2 more
openaire   +1 more source

Fourth Hankel and Toeplitz determinant estimates for certain analytic functions associated with Four Leaf function

Extracta Mathematicae
The objective of this paper is to establish initial coefficient inequalities, Upper bounds to the Hankel and Toeplitz determinants for certain normalized univalent functions defined on the open unit disk D in the complex plane related to the analytic ...
R. Rudrani, R. Bharavi Sharma, S. Sambasiva Rao   +2 more
doaj   +1 more source

Fast Disk Conformal Parameterization of Simply-connected Open Surfaces

, 2014
Surface parameterizations have been widely used in computer graphics and geometry processing. In particular, as simply-connected open surfaces are conformally equivalent to the unit disk, it is desirable to compute the disk conformal parameterizations of
Choi, Pui Tung, Lui, Lok Ming
core   +1 more source

A new Steiner symmetrization defined by a subclass of analytic function in a complex domain

Frontiers in Applied Mathematics and Statistics
In this effort, we present a new definition of the Steiner symmetrization by using special analytic functions in a complex domain (the open unit disk) with respect to the origin.
Ibtehal Alazman, Rabha W. Ibrahim
doaj   +1 more source

Toeplitz operators on Bergman spaces of polyanalytic functions

, 2010
We study algebraic properties of Toeplitz operators on Bergman spaces of polyanalytic functions on the unit disk. We obtain results on finite-rank commutators and semi-commutators of Toeplitz operators with harmonic symbols.
Cuckovic, Zeljko, Le, Trieu
core   +1 more source

Examining the behavior of parametric convex operators on a certain set of analytical functions

MethodsX
Mathematical operators that maintain convex functional combinations involving at least one parameter are called parametric convex operators (PCOs) on analytic function spaces.
Ibtisam Aldawish
doaj   +1 more source

An efficient numerical method for computation of the number of complex zeros of real polynomials inside the open unit disk [PDF]

Journal of the Association of Arab Universities for Basic and Applied Sciences, 2016
AbstractIn this paper, a simple and efficient numerical method is proposed for computing the number of complex zeros of a real polynomial lying inside the unit disk. The proposed protocol uses the Boubaker polynomial expansion scheme (BPES) to build sequence of polynomials based on the concept of Sturm sequences.
Shaikh, Muhammad Mujtaba, Boubaker, Karem   +1 more
openaire   +1 more source

Conditions for Carathéodory Functions

Journal of Inequalities and Applications, 2009
The purpose of the present paper is to derive some sufficient conditions for Carathéodory functions in the open unit disk. Our results include several interesting corollaries as special cases.
In Hwa Kim, Nak Eun Cho
doaj   +2 more sources

Analysis of a Normalized Structure of a Complex Fractal–Fractional Integral Transform Using Special Functions

Axioms
By using the most generalized gamma function (parametric gamma function, or p-gamma function), we present the most generalized Rabotnov function, called the p-Rabotnov function.
Rabha W. Ibrahim, Soheil Salahshour, Ágnes Orsolya Páll-Szabó   +2 more
doaj   +1 more source