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f is convex, but that f is convex f is not known.
| Content Provider | Scilit |
|---|---|
| Author | Miller, Sanford S. Mocanu, Petru T. |
| Copyright Year | 2000 |
| Description | We remark that (A-9) shows not only that f is convex, but that f is convex of order a = 0.228 · · · . The radius of convexity of f is not known. Recently I. Serb in [ 381 ] obtained the radius of convexity of the function 1/ f. [See the discussion involving condition (5.2-14).] Proof From (A-10) we obtain , where - 1, Re - = Re / 2 ~ 1. g(z) (e-z+z-1)z This can be rewritten in the equivalent form: (A-12) I e-z + z-1 - .!.I z2 2 and this inequality holds if and only if r r2 r3 1 +-+-+··· <-3! 4! 5! - 2. Book Name: Differential Subordinations |
| Related Links | https://content.taylorfrancis.com/books/download?dac=C2006-0-06299-0&isbn=9780429183126&doi=10.1201/9781482289817-139&format=pdf |
| Ending Page | 440 |
| Page Count | 2 |
| Starting Page | 439 |
| DOI | 10.1201/9781482289817-139 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2000-01-03 |
| Access Restriction | Open |
| Subject Keyword | Book Name: Differential Subordinations History and Philosophy of Science |
| Content Type | Text |
