On Generalized Bazilevic Functions Related with Conic Regions

On Generalized Bazilevic Functions Related with Conic Regions

Let A denote the class of analytic functions f z defined in the unit disc E {z : |z| < 1} and satisfying the conditions f 0 0, f ′ 0 1. Let S denote the subclass of A consisting of univalent functions in E, and let S∗ and C be the subclasses of Swhich contains, respectively, star-like and convex in Bazilevič 1 introduced the class B α, β, h, g as follows. Let f ∈ A. Then, f ∈ B α, β, h, g , α, ...

On strongly Bazilevic functions associated with generalized Robertson functions

On a class of analytic functions related with generalized Bazilevic type functions

Janowski type close-to-convex functions associated with conic regions

The analytic functions, mapping the open unit disk onto petal and oval type regions, introduced by Noor and Malik (Comput. Math. Appl. 62:2209-2217, 2011), are considered to define and study their associated close-to-convex functions. This work includes certain geometric properties like sufficiency criteria, coefficient estimates, arc length, the growth rate of coefficients of Taylor series, in...

On a New Subfamilies of Bazilevic Functions

In this paper, the author make use of the newly introduced concept of analytic functions by Kanas and Ronning [7] and apply Aouf et al derivative operator with the technique of Hayami, Owa and Srivastava [17] to define a more larger and generalized class of Bazilevic functions. Characterization and coefficient bounds of this new class of Bazilevic functions are considered. 2000 Mathematics Subj...