Coefficient conditions for harmonic close-to-convex functions
Abstract
New sufficient conditions, concerned with the coefficients of harmonic functions f(z)=h(z)+g(z) in the open unit disk U normalized by f(0)=h(0)=h'(0)-1=0, for f(z) to be harmonic close-to-convex functions are discussed. Furthermore, several illustrative examples and the image domains of harmonic close-to-convex functions satisfying the obtained conditions are enumerated.
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