New class of multivalent functions with negative coefficients
AM Ramadhan, NAJ Al-Ziadi - Earthline Journal of …, 2022 - earthlinepublishers.com
AM Ramadhan, NAJ Al-Ziadi
Earthline Journal of Mathematical Sciences, 2022•earthlinepublishers.comIn the present paper, we define a new class NA (n, p, λ, α, β) of multivalent functions which
are holomorphic in the unit disk∆={s∈ C∶| s|< 1}. A necessary and sufficient condition for
functions to be in the class NA (n, p, λ, α, β) is obtained. Also, we get some geometric
properties like radii of starlikeness, convexity and close-to-convexity, closure theorems,
extreme points, integral means inequalities and integral operators.
are holomorphic in the unit disk∆={s∈ C∶| s|< 1}. A necessary and sufficient condition for
functions to be in the class NA (n, p, λ, α, β) is obtained. Also, we get some geometric
properties like radii of starlikeness, convexity and close-to-convexity, closure theorems,
extreme points, integral means inequalities and integral operators.
Abstract
In the present paper, we define a new class NA (n, p, λ, α, β) of multivalent functions which are holomorphic in the unit disk∆={s∈ C∶| s|< 1}. A necessary and sufficient condition for functions to be in the class NA (n, p, λ, α, β) is obtained. Also, we get some geometric properties like radii of starlikeness, convexity and close-to-convexity, closure theorems, extreme points, integral means inequalities and integral operators.
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