Coefficient Conditions for Harmonic Close‐to‐Convex Functions
Copyright policy )Coefficient Conditions for Harmonic Close‐to‐Convex Functions
New sufficient conditions, concerned with the coefficients of harmonic functions 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.
- Kindai University Japan
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), 30C45 (Primary) 58E20 (Secondary), univalence, Mathematics - Complex Variables, QA1-939, harmonic close-to-convex functions, FOS: Mathematics, Complex Variables (math.CV), coefficients, Mathematics
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), 30C45 (Primary) 58E20 (Secondary), univalence, Mathematics - Complex Variables, QA1-939, harmonic close-to-convex functions, FOS: Mathematics, Complex Variables (math.CV), coefficients, Mathematics
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