Integral representations of bounded starlike functions

Certain Integral Operator and Strongly Starlike Functions

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...

Subordination Results and Integral Means for K−uniforly Starlike Functions

In this paper, we introduce a generalized class of k−uniformly starlike functions and obtain the subordination results and integral means inequalities . Some interesting consequences of our results are also pointed out. 2000 Mathematics Subject Classification: 30C45, 30C80.

Integral operators on Ma-Minda type starlike and convex functions

Keywords: Analytic functions Differential subordination Ma–Minda type starlike and convex functions Integral operators a b s t r a c t Two integral operators on the classes consisting of normalized p-valent Ma–Minda type starlike and convex functions are considered. Functions in these classes have the form zf ′ (z)/f (z) ≺ pϕ(z) and 1 + zf ′′ (z)/f ′ (z) ≺ pϕ(z) respectively, where ϕ is a conve...

On the Integral Representations of Generalized Relative Type and Generalized Relative Weak Type of Entire Functions

In this paper we wish to establish the integral representations of generalized relative type and generalized relative weak type as introduced by Datta et al [9]. We also investigate their equivalence relation under some certain conditions.