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Radius problems associated with pre-Schwarzian and Schwarzian derivatives

✍ Scribed by Ponnusamy, Saminathan; Sahoo, Swadesh Kumar; Sugawa, Toshiyuki


Book ID
125523839
Publisher
Oldenbourg Wissenschaftsverlag
Year
2014
Tongue
English
Weight
284 KB
Volume
34
Category
Article
ISSN
0174-4747

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Radius problems associated with pre-Schw
✍ Ponnusamy, Saminathan; Sahoo, Swadesh Kumar; Sugawa, Toshiyuki πŸ“‚ Article πŸ“… 2014 πŸ› Oldenbourg Wissenschaftsverlag 🌐 English βš– 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 π‘Ÿ ∈ (0, 1) for which t