Some Classes of Harmonic Mapping with a Symmetric Conjecture Point Defined by Subordination

On a linear combination of classes of harmonic $p-$valent functions defined by certain modified operator

In this paper we obtain coefficient characterization‎, ‎extreme points and‎ ‎distortion bounds for the classes of harmonic $p-$valent functions‎ ‎defined by certain modified operator‎. ‎Some of our results improve‎ ‎and generalize previously known results‎.

on a linear combination of classes of harmonic $p-$valent functions defined by certain modified operator

in this paper we obtain coefficient characterization‎, ‎extreme points and‎ ‎distortion bounds for the classes of harmonic $p-$valent functions‎ ‎defined by certain modified operator‎. ‎some of our results improve‎ ‎and generalize previously known results‎.

Some Subordination Results of Multivalent Functions Defined by Integral Operator

Some analytic and multivalent functions defined by subordination property

In this paper we introduce some functions which are multivalently analytic defined by the subordination property and the DziokSrivastava linear operator. We obtain characterizing property, growth and distortion inequalities, closure theorem, extreme points, radius of starlikeness, convexity, and close-to-convexity for the functions in the class. We also discuss inclusion and neighbourhood prope...

Starlikeness and Convexity Conditions for Classes of Functions Defined by Subordination

We consider the family P(1, b), b > 0, consisting of functions p analytic in the open unit disc U with the normalization p(0) = 1 which have the disc formulation |p − 1| < b in U. Applying the subordination properties to certain choices of p using the functions fn(z) = z + ∑∞ k=1+n akz , n = 1, 2, ..., we obtain inclusion relations, sufficient starlikeness and convexity conditions, and coeffici...