Certain Subclasses of Bi-Starlike Function of Complex Order Defined by Erdély–Kober-Type Integral Operator

Subclasses of Starlike Functions Involving Srivastava-attiya Integral Operator

Making use of the generalized Srivastava-Attiya integral operator, we define a new subclass of starlike functions with negative coefficients and obtain coefficient estimates, extreme points, the radii of close to convexity, starlikeness and convexity and neighbourhood results for f ∈ TS b (α, β, γ, A,B). In particular, we obtain modified Hadamard product results for the function f(z) belongs to...

Certain Integral Operator and Strongly Starlike Functions

Coefficient Estimates for Certain New Subclasses of Starlike Functions of Complex Order (communicated by Hari Srivastava)

In the present paper, we consider the coefficient estimates for functions in certain new subclasses of starlike and convex functions of complex order γ, which are introduced by means of a generalized differential operator and non-homogeneous Cauchy-Euler type differential equation. Several corollaries and consequences of the main results are also obtained.

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 Harmonic Uniformly Starlike Functions Defined by an Integral Operator

Using the integral operator, we define and study a generalized family of complex-valued harmonic functions that are univalent, sense-preserving and are associated with uniformly harmonic functions in the unit disk. We obtain coefficient inequalities, extreme points and distortion bounds for the functions in our class. The results obtained for the our class reduce to the corresponding results fo...