Univalence of T-symmetric Suffridge type polynomials of degree 3T + 1
We show the univalence of T-symmetric Suffridge type polynomials S_4^(T) in the unit disk, confirming thereby the conjecture proposed by Dmitrishin, Gray, and Stokolos in their recent paper. The result also implies the quasi-extremality of S_n^(T) in the sense of Ruscheweyh.
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2072/489119 |
| Acceso en línea: | http://hdl.handle.net/2072/489119 |
| Access Level: | acceso embargado |
| Palabra clave: | Suffridge polynomials Univalence of a function Polynomial symmetrization 51 |
| Sumario: | We show the univalence of T-symmetric Suffridge type polynomials S_4^(T) in the unit disk, confirming thereby the conjecture proposed by Dmitrishin, Gray, and Stokolos in their recent paper. The result also implies the quasi-extremality of S_n^(T) in the sense of Ruscheweyh. |
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