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

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...

Inclusion Properties for Certain Subclasses of Analytic Functions Defined by a Linear Operator

which are analytic in the open unit disk U {z ∈ C : |z| < 1}. If f and g are analytic in U, we say that f is subordinate to g, written f ≺ g or f z ≺ g z if there exists an analytic function w in U with w 0 0 and |w z | < 1 for z ∈ U such that f z g w z . We denote by S∗, K, and C the subclasses of A consisting of all analytic functions which are, respectively, starlike, convex, and close-to-co...

On Certain Subclasses of Analytic Functions Defined by Differential Subordination

Some Subclasses of Analytic Functions Defined by Generalized Differential Operator

Let A denote the class of analytic functions in the open unit disk U = {z : |z| < 1} normalized by f(0) = f ′(0) − 1 = 0. In this paper, we introduce and study certain subclasses of analytic functions. Several inclusion relations of various subclasses of analytic functions, coefficient estimates , growth and distortion theorems, Hadamard Product, extreme points, integral means and inclusion pro...

Certain Subclasses of Analytic Functions with Negative Coefficients Defined by Generalized Sălăgean Operator

Abstract We introduce the subclass Tj(n, m, γ, α, λ) of analytic functions with negative coefficients defined by generalized Sălăgean operator D λ . Coefficient estimates, some important properties of the class Tj(n, m, γ, α, λ) and distortion theorems are determined. Further, extremal properties and radii of close-to-convexity, starlikeness and convexity of the class Tj(n, m, γ, α, λ) are obta...