On Certain Class of Harmonic Univalent Functions
نویسندگان
چکیده
Abstract -A complex-valued functions that are univalent and sense preserving in the unit disk U can be written in the form ( ) ( ) ( ) f z h z g z , where U(z) and g(z) are analytic in. We will introduced the operator D which defined by convolution involving the polylogarithms functions. Using this operator, we introduce the class HP(,, n) by generalized derivative operator of harmonic univalent functions. We give sufficient coefficient conditions for normalized harmonic functions in the class HP(,, n). These conditions are also shown to be necessary when the coefficients are negative. This leads to distortion bounds and extreme points.
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