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The aim of this paper is to introduced subclasses of Janowski functions with bounded boundary and bounded radius rotations of complex order b and of type ρ. And also to study the mapping properties of these classes under certain integral operators defined and studied by Breaz et. al recently. 2000 Mathematics Subject Classification: 30C45, 30C50.

- Muhammad Arif, Mohsan Raza, Khalida Inayat Noor, Sarfraz Nawaz Malik
- Mathematical and Computer Modelling
- 2011

- Muhammad Arif, Khalida Inayat Noor, Mohsan Raza
- Computers & Mathematics with Applications
- 2011

- Muhammad Arif, Maslina Darus, Mohsan Raza, Qaiser Khan
- TheScientificWorldJournal
- 2014

The aim of the present paper is to investigate coefficient estimates, Fekete-Szegő inequality, and upper bound of third Hankel determinant for some families of starlike and convex functions of reciprocal order.

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… (More)

- Mohsan Raza, Muhammad Arif, Maslina Darus
- J. Applied Mathematics
- 2013

which are analytic in the open unit disk E. Also, A1 = A, the usual class of analytic functions defined in the open unit disk E = {z : |z| < 1}. Let f(z) and g(z) be analytic in E. We say that the function f is subordinate to the function g and write f(z) ≺ g(z), if and only if there exists Schwarz function w, analytic in E such that w(0) = 0, |w(z)| < 1… (More)

- Muhammad Arif, Mohsan Raza
- 2011

In this paper we will study the integral operator involving Bessel functions of the first kind and of order v.We will investigate the integral operator for the classes of starlike and convex functions in the open unit disk.

In this paper, the authors determine the coefficient bounds for functions in certain subclasses of analytic functions related with the conic regions, which are introduced by using the concept of bounded boundary and bounded radius rotations. The effect of certain integral operator on these classes has also been examined. Sarfraz Nawaz Malik, Mohsan Raza,… (More)

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