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Differential subordination and superordination results for an operator associated with the generalized bessel functions
Generalized Bessel functions univalent functions Hadamard product subordination superordination
2012/4/23
We obtain many subordination and superordination results, using a new operator Bc ?f by means of the normalized form of the generalized Bessel functions of ?rst kind, which is defined as z [B^c_(\kapp...
Subordination by orthogonal martingales in $L^{p}, 1
Subordination orthogonal martingales $L^{p}, 1
2011/1/18
We are given two martingales on the filtration of the two dimensional Brownian motion. One is subordinated to another. We want to give an estimate of Lp-norm of a subordinated one via the same norm of...
Some new Bellman functions and subordination by orthogonal martingales in $L^{p}, 1
Some new Bellman functions subordination orthogonal martingales
2011/1/18
The main result of this note is Theorem 7 below. The main interest is the array of new Bellman function, very different from Burkholder’s function.
Subordination by orthogonal martingales in $L^{p}$ and zeros of Laguerre polynomials
orthogonal martingales $L^{p}$ zeros of Laguerre polynomials
2011/1/18
In this paper we address the question of finding the best Lp-norm constant for martingale transforms with one-sided orthogonality. Let O = (,B, P)be a probability space with filtration B generated by ...
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 Application of Differential Subordination for Certain Subclass of Meromorphically $p$-Valent Functions with Positive Coefficients Defined by Linear Operator
Meromorphic functions Differential subordination convolution (or Hadamard product) $p$-valent functions Linear operator $delta$-Neighborhood Integral representation Linear combination Weighted mean and Arithmetic mean
2010/1/22
This paper is mainly concerned with the application of differential subordinations for the class of meromorphic multivalent functions with positive coefficients defined by a linear operator satisfying...
Some Subordination Criteria Concerning the Salagean Operator
Janowski function Starlike Convex Univalent Subordination
2010/1/22
Applying Salagean operator, for the class of analytic functions in the open unit disk which are normalized by , the generalization of an analytic function to discuss the starlikeness is considered....
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.
Differential Subordination Results for New Classes of the Family $ \mathcal{E}( \Phi, \Psi)$
Fractional calculus Subordination Hadamard product
2010/1/25
We define new classes of the family in a unit disk where the operator denotes the convolution or Hadamard product. Moreover, we establish some subordination results for these new classes.
An Application of Subordination on Harmonic Function
Harmonic Univalent Subordination Convex Starlike Close-to-convex
2008/7/3
An Application of Subordination on Harmonic Function.
Applications Of Differential Subordination To Certain Subclasses Of Meromorphically Multivalent Functions
Meromorphic functions Differential subordination Hadamard product (or convolution) Multivalent functions
2008/7/2
By making use of the principle of differential subordination, the authors investigate several inclusion relationships and other interesting properties of certain subclasses of meromorphically multival...
On a Subordination Theorem for a Class of Meromorphic Functions
V. Ravichandran S. Sivaprasad Kumar Maslina Darus
2008/6/27
In this paper, we obtain a subordination result for a class of meromorphic
functions.
Some Subordination Results Associated with Certain Subclasses of Analytic Functions
Analytic functions Univalent functions Convex functions Subordination principle Hadamard product (or convolution) Subordinating factor sequence
2008/6/26
Some Subordination Results Associated with Certain Subclasses of Analytic Functions.
Starlikeness and Convexity Conditions for Classes of Functions Defined by Subordination
Subordination Hadamard product Starlike Convex
2008/6/26
Starlikeness and Convexity Conditions for Classes of Functions Defined by Subordination.
Some Applications of a First order Differential Subordination
Univalent function Starlike function Convex function Differential subordination
2008/6/26
Some Applications of a First order Differential Subordination.