Classes of harmonic functions defined by extended Sălăgean operator

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.

On certain classes of p - valent functions defined by Sălăgean operator

Let Ap be the class of analytic functions f which are of the form f(z) = z + ∞ ∑ m=p+1 am z , (p ∈ N = {1, 2, 3, ...}), defined in the open unit disk U = {z ∈ C : |z| < 1}. We introduce the class M(α, β, n, p) and also the subclass M?(α, β, n, p). The aim of the present paper is to derive some convolution properties for functions belonging to the class M?(α, β, n, p). 2010 Mathematics Subject C...

On univalent functions defined by a generalized Sălăgean operator

On Harmonic Functions Defined by Derivative Operator

A sufficient coefficient of this class is determined. It is shown that this coefficient bound is also necessary for the classM –– H n, λ, α if fn z h –– gn∈ MH n, λ, α , where h z z− ∑∞ k 2|ak|z, gn z −1 n ∑∞ k 1|bk|z and n ∈ N0. Coefficient conditions, such as distortion bounds, convolution conditions, convex combination, extreme points, and neighborhood for the class M –– H n, λ, α , are obta...