Strong Subordination for E -valent Functions Involving the Operator Generalized Srivastava-Attiya

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...

Differential Subordination Result with the Srivastava-Attiya Integral Operator

Some Applications of Srivastava-Attiya Operator to p-Valent Starlike Functions

E. A. Elrifai, H. E. Darwish, and A. R. Ahmed Faculty of Science, Mansoura University, Mansoura 35516, Egypt Correspondence should be addressed to H. E. Darwish, [email protected] Received 25 March 2010; Accepted 14 July 2010 Academic Editor: Ram N. Mohapatra Copyright q 2010 E. A. Elrifai et al. This is an open access article distributed under the Creative Commons Attribution License, which...

Fractional Calculus on Unified Class of Spiral-like Functions Involving Srivastava-attiya Operator

Making use of convolution product, we introduce a unified class of spiral-like functions and obtain the coefficient bounds, extreme points and radius of starlikeness for functions belonging to the generalized class Pλ μ (α, β, γ). Furthermore, Distortion theorems for the fractional derivative and fractional integration are obtained. Also we get result about coefficient inequality.

On Certain Subclass of P-valent Functions Involving the Dziok-srivastava Operator

In this paper, we introduce a class Tk(λ, α1, p, q, s, ρ). We investigate a number of inclusion relationships, radius problem and some other interesting properties of p-valent functions which are defined here by means of a certain linear integral operator Hp,q,s(α1). 2000 Mathematics Subject Classification: 30C45, 30C50.