A New Class of Holomorphic Univalent Functions Defined by Linear Operator

Najah Ali Jiben Al-Ziadi; Ali Mohammed  Ramadhan

doi:10.24297/jam.v21i.9258

Authors

Najah Ali Jiben Al-Ziadi University of Al-Qadisiyah
Ali Mohammed Ramadhan University of Al-Qadisiyah

DOI:

https://doi.org/10.24297/jam.v21i.9258

Keywords:

convolution property and radii of starlikeness and convexity, Convex set, Distortion bound, Coefficient inequality, Univalent function, Holomorphic function

Abstract

In the present work, we submit and study a new class AN(τ, λ, η, ρ) containing holomorphic univalent functions defined by linear operator in the open unit disk Λ={s ϵ C :|s | <1} We get some geometric properties, such as, coefficient inequality, growth, and distortion bounds, convolution properties, convex set, neighborhood property, radii of starlikeness and convexity , weighted mean and arithmetic mean for functions belonging to the class AN(τ, λ, η, ρ)

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