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Geometric Properties of Harmonic Function Affiliated With Fractional Operator
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This paper's goal is to discover new results for the harmonic univalent functions G=υ+η defined in the open unit disc ρ={z: |z|<1}. Examining KS indicates the set of all analytic harmonic functions of form G in the open unit disc ρ. The convolution featuring the Mittag-Leffler function and fractional operator is applied to generate the family of harmonic univalent VKS. Motivated by Kamali [9], we present a novel of kamali class with VKS(δ) brand-new class of harmonic univalent functions Pα,β,zγ,δ,ε,ν inspiring inequality. Analysing Mittag-Leffler function convolution with modified tremblay operator inequality as a necessary and sufficient condition for univalent harmonic functions related to specific generalised Mittag-Leffler functions to be in the function class VKS(δ) is the aim of this research. Moreover, we discover extreme points, a distortion theorem, convolution properties, and convex combinations for the functions in VKS(δ).
SCIK Publishing Corporation
Title: Geometric Properties of Harmonic Function Affiliated With Fractional Operator
Description:
This paper's goal is to discover new results for the harmonic univalent functions G=υ+η defined in the open unit disc ρ={z: |z|<1}.
Examining KS indicates the set of all analytic harmonic functions of form G in the open unit disc ρ.
The convolution featuring the Mittag-Leffler function and fractional operator is applied to generate the family of harmonic univalent VKS.
Motivated by Kamali [9], we present a novel of kamali class with VKS(δ) brand-new class of harmonic univalent functions Pα,β,zγ,δ,ε,ν inspiring inequality.
Analysing Mittag-Leffler function convolution with modified tremblay operator inequality as a necessary and sufficient condition for univalent harmonic functions related to specific generalised Mittag-Leffler functions to be in the function class VKS(δ) is the aim of this research.
Moreover, we discover extreme points, a distortion theorem, convolution properties, and convex combinations for the functions in VKS(δ).
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