On Certain Classes of Harmonic Functions Defined by the Fractional Derivatives
نویسنده
چکیده
where h and g are analytic in the unit disk D = {z : |z| < 1}. A sufficient coefficient condition for this function in the class HM(β, λ, k, ν) and a necessary and sufficient coefficient condition for the function f in the class HM(β, λ, k, ν) are determined. We investigate inclusion relations, distortion theorem, extreme points, convex combination and other interesting properties for these families of harmonic functions.
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