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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...
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.
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 ...
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...
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....
New classes of analytic functions are defined. We give some applications of first order differential subordination obtain sufficient conditions for normalized analytic functions.
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.
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...
In this paper, we obtain a subordination result for a class of meromorphic functions.
Starlikeness and Convexity Conditions for Classes of Functions Defined by Subordination.

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