Applications of Srivastava-Attiya operator to the classes of strongly starlike and strongly convex functions

Applications of Srivastava–attiya Operator to the Classes of Strongly Starlike and Strongly Convex Functions

Srivastava-Attiya operator is used to define some new subclasses of strongly starlike and strongly convex functions of order β and type α in the open unit disk U . For each of these new function classes, several inclusion relationships are established. Some interesting corollaries and applications of the results presented here are also discussed. Mathematics subject classification (2000): 30C45...

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...

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...

On Certain Classes of Strongly Starlike Functions

In this paper we study functions which are strongly starlike, with the method of differential inequalities. We also give a generalization of the results obtained by the authors Milutin Obradovic and Santosh B. Joshi (1998) with new class of functions defined by q order ordinary differential operator.

Certain Integral Operator and Strongly Starlike Functions