UNIVALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS BASED ON ORDER OF CONVOLUTION CONSISTENCE

Univalent Functions with Negative Coefficients Based on Order of Convolution Consistence

In this paper we consider the modified Hadamard product or convolution of analytic functions with negative coefficients, combined with an Sǎlǎgean integral operator. We discuss when it is a given class. Following idea of U. Bednarz and J. Sokól we shall determine the order of convolution consistence for certain analytic functions with negative coefficients. AMS Subject Classification: 30C45, 30C50

On Subclass of Analytic Univalent Functions Associated with Negative Coefficients

M. H. Al-Abbadi and M. Darus 2009 recently introduced a new generalized derivative operator μ λ1 ,λ2 , which generalizedmany well-known operators studied earlier by many different authors. In this present paper, we shall investigate a new subclass of analytic functions in the open unit disk U {z ∈ C : |z| < 1} which is defined by new generalized derivative operator. Some results on coefficient ...

Convolution of the subclass of Salagean-type harmonic univalent functions with negative coefficients

A recent result of Sibel Yalcin et al. [4] appeared in “Journal of Inequalities in Pure and Applied Mathematics”(2007) concerning the convolution of two harmonic univalent functions in the class RSH (k, γ) is improved. 2010 Mathematics Subject Classification: 30C45.

A subclass of harmonic univalent functions with negative coefficients

Abstract In this paper we introduce a new family Ā(α, β, γ) of harmonic univalent functions with negative coefficients using fractional calculus operator Ωλwhich contains various well known classes of harmonic univalent functions as well as many new ones. We obtain coefficient estimate, distortion theorem and various other properties for functions belonging to the class Ā(α, β, γ) in the unit d...

Sakaguchi - Type Harmonic Univalent Functions with Negative Coefficients