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Pre-Schwarzian and Schwarzian Derivatives of Harmonic Mappings

✍ Scribed by Hernández, Rodrigo; Martín, María J.

Book ID
120956827
Publisher
Springer-Verlag
Year
2013
Tongue
English
Weight
425 KB
Volume
25
Category
Article
ISSN
1050-6926

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✍ Ponnusamy, Saminathan; Sahoo, Swadesh Kumar; Sugawa, Toshiyuki 📂 Article 📅 2014 🏛 Oldenbourg Wissenschaftsverlag 🌐 English ⚖ 284 KB

Some of important univalence criteria for a non-constant meromorphic function 𝑓(𝑧) on the unit disk 𝔻 involve its pre-Schwarzian or Schwarzian derivative. We consider an appropriate norm for the pre-Schwarzian derivative, and discuss the problem of finding the largest possible 𝑟 ∈ (0, 1) for which t