Coefficient Estimates for Inverses of Starlike Functions of Positive Order
| dc.creator | Kapoor, G. P. | |
| dc.creator | Mishra, A. K. | |
| dc.date | 2005-11-03 | |
| dc.date.accessioned | 2026-07-07T06:50:43Z | |
| dc.date.available | 2026-07-07T06:50:43Z | |
| dc.description | In the present paper, the coefficient estimates are found for the class $\mathcal S^{*-1}(α)$ consisting of inverses of functions in the class of univalent starlike functions of order $α$ in $\mathcal D=\{z\in\mathbb C:|z|<1\}$. These estimates extend the work of {\it Krzyz, Libera and Zlotkiewicz [Ann. Univ. Marie Curie-Sklodowska, 33(1979), 103-109]} who found sharp estimates on only first two coefficients for the functions in the class $\mathcal S^{*-1}(α)$. The coefficient estimates are also found for the class $\sum^{*-1}(α)$, consisting of inverses of functions in the class $\sum^*(α)$ of univalent starlike functions of order $α$ in $\mathcal V=\{z\in\mathbb C:1<|z|<\infty\}$. The open problem of finding sharp coefficient estimates for functions in the class $\sum^*(α)$ stands completely settled in the present work by our method developed here. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0511076 | |
| dc.identifier | http://arxiv.org/abs/math/0511076 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104752 | |
| dc.subject | Complex Variables | |
| dc.subject | 30C50; 30C45 | |
| dc.title | Coefficient Estimates for Inverses of Starlike Functions of Positive Order | |
| dc.type | text |