In this paper, we determine the radius of λ -uniform convexity, id="M2"> -starlikeness, and id="M3"> α -convexity order id="M4"> δ for Weierstrass canonical product an entire function as a root having smallest modulus argument id="M5"> ϕ functional equation. As special cases, also id="M6"> id="...

We consider certain properties of f(z)f ′′(z)/f ′2(z) as a sufficient condition for starlikeness.

By using the method of differential subordination, we obtain some sufficient conditions for strongly p-valent starlikeness.

This paper deals with local convexity properties of the j-metric. We consider convexity and starlikeness of the j-metric balls in convex, starlike and general subdomains of R.

Abstract. The author here wish to further study the new concept of analytic and univalent functions normalized with f(ω) and f ′(ω) − 1 = 0 introduced by Kanas and Ronning in 1999 which was later also investigated in 2005 by Acu and Owa. The author in this paper obtain coefficient estimates, distortion theorems, convex linear combinations, and radii of ω-closeto-convex, ω − starlikeness and ω −...

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 aim of the present paper is to consider geometric properties such as starlikeness and convexity of the Cesáro partial sums of certain analytic functions in the open unit disk. By using the Cesáro partial sums, we improve some recent results including the radius of convexity. 1 Introduction Let U := {z : |z| < } be a unit disk in the complex plane C and let H denote the space of all analyti...

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.