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Close-to-Convexity Criteria for Planar Harmonic Mappings

✍ Scribed by D. Bshouty; A. Lyzzaik


Publisher
SP Birkhäuser Verlag Basel
Year
2010
Tongue
English
Weight
220 KB
Volume
5
Category
Article
ISSN
1661-8254

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✍ Xiao-Tian Wang; Xiang-Qian Liang; Yu-Lin Zhang 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 89 KB

The class S H consists of harmonic, univalent, and sense-preserving functions f in the open unit disk U = z z < 1 , such that f = h + ḡ, where h z = z + ∞ n=2 a n z n and g z = ∞ n=1 a -n z n . Let S 0 H , C H , and C 0 H denote the subclass of S H with a -1 = 0, the subclass of S H with f being a c