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< 0 and therefore from (2.5-12) we deduce that
| Content Provider | Scilit |
|---|---|
| Author | Miller, Sanford S. Mocanu, Petru T. |
| Copyright Year | 2000 |
| Description | Since this contradicts (2.5-8), we see that (2.5-11) holds and from Theorem A version of this lemma for the case n = 1 was given in [ 216 ], while the version for arbitrary n was proved in [ 199 ]. The condition Re P(z) > 0 for z E U implies condition (2.5-8) and so here we also have the conclusion Re p(z) > 0. This "right-half' condition on P played a crucial role in several previous investigations on differential inequalities. The new condition (2.5-8) involving the slit mapping Rc,n opens the left half-plane through the opening ( "open door" ) between the two slits of Rc,n. This essentially doubles the region of variability of P and is a significant extension of earlier results. Book Name: Differential Subordinations |
| Related Links | https://content.taylorfrancis.com/books/download?dac=C2006-0-06299-0&isbn=9780429183126&doi=10.1201/9781482289817-23&format=pdf |
| Ending Page | 68 |
| Page Count | 1 |
| Starting Page | 68 |
| DOI | 10.1201/9781482289817-23 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2000-01-03 |
| Access Restriction | Open |
| Subject Keyword | Book Name: Differential Subordinations Particles and Fields Physics Differential Doubles Earlier |
| Content Type | Text |
| Resource Type | Chapter |