Some Classes of Analytic Functions Related with Functions of Bounded Radius Rotation with Respect to Symmetrical Points Khalida Inayat Noor and Saima Mustafa

Some Classes of Analytic Functions Related with Functions of Bounded Radius Rotation with Respect to Symmetrical Points

In this paper, we introduce a class Rk(γ) of analytic functions of bounded radius rotation with respect to symmetrical points and study some of its basic properties. Using this concept, two other classes T s k (δ ,γ) , K s k (δ ,γ) are also defined. We study coefficient results, arc-length and radius problems for these classes. Mathematics subject classification (2000): 30C45, 30C50.

Mapping Properties of Some Classes of Analytic Functions under an Integral Operator

In this paper, we consider certain subclasses of analytic functions with bounded boundary and bounded radius rotation related with Robertson functions and study the mapping properties of these classes under certain integral operator introduced by Serap Bulut recently. Mathematics subject classification (2010): 30C45, 30C50.

On some classes of p-valent functions involving Carlson-Shaffer operator

Keywords: Operator Hadamard product Bazilevic functions Starlike functions Hypergeometric functions p-valent functions a b s t r a c t Let AðpÞ; p 2 N, be a class of functions f : f ðzÞ ¼ z p þ P 1 k¼pþn a k z k analytic in the open unit disc E. We use Carlson–Shaffer operator for p-valent functions to define and study certain classes of analytic functions. Inclusion results, a radius problem a...

A Class of Bazilevic Type Functions Defined by Convolution Operator

The aim of this paper is to define and study a class of analytic functions related to Bazilevic type functions in the open unit disc.This class is defined by using a convolution operator and the concept of bounded radius rotation of order ρ . A necessary condition, inclusion result, arc length and some other interesting properties of this class of functions are investigated.

Convolution and Subordination Properties of Analytic Functions with Bounded Radius Rotations