By introducing a new subcalss of p-valent functions with respect to (j, k)-symmetric points, we have obtained the integral representations and conditions for starlikeness by using differential subordination. Some already known results have been, incidentally, shown to be particular cases of the main results of the paper.

We obtain a sufficient condition for starlikeness of orderα, |f ′(z)−λ(f(z)/z)+ λ−1|<M =Mn(λ,α), where λ∈ [0,1], α∈ [0,1) and the function f(z)= z+an+1zn+1+ ··· is analytic in the unit disc U . 2000 Mathematics Subject Classification. 30C45.

In this paper we introduce and study some properties of a unified class U [μ, α, β, γ, λ, η, A,B] of prestarlike functions with negative coefficients in a unit disk U . These properties include growth and distortion, radii of convexity, radii of starlikeness and radii of close-to-convexity.

In this paper, we introduce and investigate a new class of meromorphic functions defined by a differential operator. For this class, we obtain coefficient inequality, distortion inequality, radius of close-to-convex, starlikeness and convexity, extreme points and integral means inequality.

It is known that the ratio of Gaussian hypergeometric functions can be represented by means of g -fractions. In this work, the ratio of q -hypergeometric functions are represented by means of g -fractions that lead to certain results on q -starlikeness of the q -hypergeometric functions defined on the open unit disk. Corresponding results for the q -convex case are also obtained.

Abstract. The object of the present paper is to study certain subclasses J∗ p (a, b, σ) and Cp(a, b, σ) of analytic p-valent functions, and obtain coefficient bounds and distortion properties for functions belonging to these subclasses. Further results include distortion inequalities and radii of close-toconvexity, starlikeness and convexity for these classes of functions.

The main object of the present paper is to derive some results for multivalent analytic functions defined by a linear operators. As a special case of these results, we obtain several sufficient conditions for close-to-convexity and starlikeness of certain analytic functions.

The main object of this paper is to investigate and determine a sufficient condition for q-starlikeness q-convexity functions which are associated with normalized Gauss hypergeometric function.