In this paper, we introduce a new class of functions which are analytic and univalent with negative coefficients defined by using certain fractional operators described in the Caputo sense. Characterization property, the results on modified Hadamard product and integral transforms are discussed. Further, distortion theorem and radii of starlikeness and convexity are also determined here. Resume...

The object of the present paper is to derive some sufficient conditions for strongly starlikeness of multivalently convex functions of order α in the open unit disc. 2000 Mathematics Subject Classification. 30C45.

The object of the present paper is to consider the starlikeness and convexity of partial sums of certain analytic functions in the open unit disk. 2000 Mathematics Subject Classification. Primary 30C45.

In this paper we give the coefficients estimates, distortion properties, radii of starlikeness and convexity for classes of functions with varying argument of coefficients defined by convolution and subordination.

In this paper we prove a starlikeness property for the Bernardi operator concerning ( ) α S -class and two particular properties for Libera and Alexander operators.

We improve a result in Silverman’s paper (1999) and answer a question he posed. We also consider a similar problem and obtain sufficient conditions for starlikeness. 2000 Mathematics Subject Classification. 30C45.

New classes of analytic functions defined by using the Salagean operator are introduced and studied. We provide coefficient inequalities, distortion theorems, extreme points and radius of close-to-convexity, starlikeness and convexity of these classes.

We obtain a sharp constant of the sufficient condition for p-valently starlikeness, which had been studied by Nunokawa (1991), Obradovíc and Owa (1989), and Li (1993). 2000 Mathematics Subject Classification. Primary 30C45.

We investigate harmonic mappings $$f=h+{\bar{g}}$$ defined in the unit disk, where g and h satisfy certain prescribed conditions analytic part belongs to Ma Minda class of starlike functions. Certain sharp radius results for univalency, close-to-convexity, fully starlikeness, convexity, strongly starlikeness are established. also calculate uniformly convexity these Several enhance well-known re...

The object of the present paper is to derive certain sufficient conditions for univalence, p-valently starlikeness and p-valently close-to-convexity of analytic functions in the unit disk. Our results extend and improve some results due to Owa [3], Frasin and Darus [2] and Chen [1].