Notes on certain p-valent functions

Applications of convolution and‎ ‎subordination to certain $p$-valent functions

In this paper we considered some new classes of multivalent functions by using Aouf-Silverman-Srivastava operator and derived some important results using convolution and subordination technique. This new class is an extension of a class which introduced before.

Certain Coefficient Bounds for p-Valent Functions

CERTAIN SUBCLASSES OF p−VALENT MEROMORPHIC FUNCTIONS INVOLVING CERTAIN OPERATOR

In this paper, a new subclass ∑α p,β(η, δ, μ, λ) of p−valent meromorphic functions defined by certain integral operator is introduced. Some interesting properties of this class are obtained.

On Certain Sufficiency Criteria for p-Valent Meromorphic Spiralike Functions

and Applied Analysis 3 2. Some Properties of the Classes ∑∗ λ p, n, α and ∑λ c p, n, α Theorem 2.1. If f z ∈ ∑ p, n satisfies ∣ ∣ ∣ ∣ ( zf z )eiλ/ p−α cosλ { e zf ′ z f z α cosλ ip sinλ } ( p − α cosλ ∣ ∣ ∣ ∣ < n √ n2 1 ( p − α cosλ z ∈ U , 2.1 then f z ∈ ∑∗λ p, n, α . Proof. Let us set a function h z by h z 1 z ( zf z )eiλ/ p−α cosλ 1 z ean ( p − α cosλ n · · · 2.2 for f z ∈ ∑ p, n . Then clea...

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.