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.

Abstract The main aim of this article is to present some novel geometric properties for three distinct normalizations the generalized k k -Bessel functions, such as radii uniform convexity and α \alpha -convexity. In addition, we show that -convexity remain in between starlikeness convexity, case when <m:m...

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].

The generalized Roper-Suffridge extension operator in Banach spaces is introduced. We prove that this operator preserves the starlikeness on some domains in Banach spaces and does not preserve convexity in some cases. Furthermore, the growth theorem and covering theorem of the corresponding mappings are given. Some results of Roper and Suffridge and Graham et al. in Cn are extended to Banach sp...

The object of the present paper is to derive a property of certain meromorphic functions in the punctured unit disk. Our main theorem contains certain sufficient conditions for starlikeness and close-to-convexity of order α of meromorphic functions. 2000 Mathematics Subject Classification. 30C45.

The criteria that embed a normalized analytic function in the class of functions that are starlike with respect to N-symmetric points are presented. The criteria are based on the quotient of analytical representations of starlikeness and convexity with respect to N -symmetric points. AMS Mathematics Subject Classification (2000): 30C45