On Harmonic Functions Defined by Derivative Operator

On Harmonic Functions Defined by Derivative Operator

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Abstract Let denote the SPF30 LIP BALM class of functions that are harmonic univalent and sense-preserv- ing in the unit disk , where.In this paper, we introduce the class of functions which are harmonic in.A sufficient coefficient of this class is determined.

It is shown that this coefficient bound is also necessary for the class if , where and.Coefficient conditions, such as distortion bounds, convolution conditions, convex combination, extreme points, and Cement Trowel neighborhood for the class , are obtained.