Integral Transforms of Certain Subclasses of Analytic Functions

Integral Means of Certain Analytic Functions

We introduce the analytic functions f (z) = z + ∞ ∑ k=n+1 akz k ( n ∈ N) and p(z) = z + m ∑ s=1 bsj−s+1zsj−s+1 (j ≥ n + 1;n ∈ N) in the open unit disk U. By means of the subordination theorem of J.E. Littlewood, we shall investigate the integral means with coefficients inequalities of analytic functions f(z) and p(z). Some applications of the integral mean of f(z) are considered. 2000 Mathemati...

Some Properties of Certain Integral Operators on New Subclasses of Analytic Functions with Complex Order

Coefficient Bounds for Certain Subclasses of Analytic Functions Defined by Komatu Integral Operator

Serap Bulut School of Civil Aviation College, Kocaeli University, Arslanbey Campus, 41285 Izmit-Kocaeli, Turkey Correspondence should be addressed to Serap Bulut, [email protected] Received 23 March 2012; Accepted 11 July 2012 Academic Editor: Yuri Latushkin Copyright q 2012 Serap Bulut. This is an open access article distributed under the Creative Commons Attribution License, which pe...

On Sandwich Theorem for Certain Subclasses of Symmetric Analytic Functions Associated with Noor Integral Operator

In this paper, we obtain some interesting properties of differential subordination and superordination for the classes of symmetric analytic functions in the unit disk, by applying Noor integral operator. We investigate several sandwich theorems on basis of this theory.

Neighborhoods of Certain Subclasses of Analytic Functions with Negative Coefficients

The main object of this paper is to prove several inclusion relations associated with (j, δ)-neighborhoods of various subclasses defined by Salagean operator by making use of the familiar concept of neighborhoods of analytic functions. Special cases of some of these inclusion relations are shown to yield known results.