Mohsan Raza

On products of multivalent close-to-star functions

In the present paper we define a class of products of multivalent close-to-starfunctions and determine the set of pairs , , such that every function from the class maps thedisk onto a domain starlike with respect to theorigin. Some consequences of the obtained result are also considered.MSC: 30C45, 30C50, 30C55.

Fekete-Szegő Inequality for a Subclass of

The main object of this paper is to study Fekete-Szegő problem for the class of -valent functions. Fekete-Szegő inequality of several classes is obtained as special cases from our results. Applications of the results are also obtained on the class defined by convolution.

p

The aim of this paper is to study the properties of a subclass of analytic functions related to p-valent Bazilevic functions by using the concept of differential subordination. We investigate some results concerned with coefficient bounds, inclusion results, radius problem, covering theorem, angular estimation of a certain integral operator, and some other interesting properties.MSC:30C45, 30C50.

-Valent Analytic Functions

We are mainly interested in some geometric properties for the combinations of generalized Bessel functions of the first kind and their derivatives known as Dini functions. In particular, we study the starlikeness of order convexity of order , and close-to-convexity of order for normalized Dini function. We also study close-to-convexity with respect to certain star-like functions. Further, we obtain conditions on generalized Dini function to belong to the Hardy space

On some inequalities of a certain class of analytic functions

This article deals with some functional inequalities involving Struve function, generalized Struve function, and modified Struve functions. We aim to find the convexity of the integral operator defined by Struve function, generalized Struve function, and modified Struve functions.

Certain Geometric Properties of Generalized Dini Functions

Abstract In this paper, we introduce a subclass of analytic functions in the open unit disc. This class generalizes the class of Bazilevic functions of order α. We find arc length, coefficient bounds, coefficient difference, growth result, qth Hankel determinant of this class of functions.

Convexity of Certain Integral Operators Defined by Struve Functions

In this paper, we introduce a new class of multivalent functions by using a generalized integral operator defined by the hypergeometric function. Some properties such as inclusion, radius problem and integral preserving are considered.MSC:30C45, 30C50.