Abstract
We continue to investigate the relation of close-to-convex harmonic mappings versus their analytic counterpart. Our starting point is the investigation initiated by Clunie and Sheil-Small [J. Clunie and T. Sheil-Small, Harmonic univalent mappings, Ann. Acad. Sci. Fenn. Ser. A.I. Math. 9 (1984), pp. 3–25] and further developments by Chuaqui and Hernandez [M. Chuaqui and R. Hernandez, Univalent harmonic mappings and linearly connected domains, J. Math. Anal. Appl. 332 (2007), pp. 1189–1194], and Bshouty and Lyzzaik [D. Bshouty and A. Lyzzaik, Close-to-convexity criteria for planar harmonic mappings, Complex Anal. Oper.Theory (to appear)].
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