论文标题
Ma-Minda Starlikeness的半径问题
Radii problems for Ma-Minda Starlikeness
论文作者
论文摘要
对于标准的ma-minda类$ \ Mathcal {s}^{*}（ψ）$的单价函数，我们将$ \ Mathcal {s}^{*}^{*}（ψ）（ψ）$ - radii用于一些知名的特殊功能。此外，我们获得了经典问题的极端功能集 $ \ max_ {f \ in \ mathcal {s}^{*}（ψ）}^{}^{} \ left |φ\ left（\ log {（f（z）/z）/z）/z）} \ right）\ right | \ quad \ text {或} \ quad \ max_ {f \ in \ mathcal {s}^{*}（ψ）}^{}^{} \ rec = \ left（\ log {（f（z）/z）/z）/z）} \ right），$φ$ where $φ$ wher此外，我们证明了$ψ（\ mathbb {d}）$ starlike时的卷积和半径估计的某些结果。
For the standard Ma-Minda class $\mathcal{S}^{*}(ψ)$ of univalent starlike functions, we derive $\mathcal{S}^{*}(ψ)$-radii for some well-known special functions. In addition, we obtain the set of extremal functions for the classical problem $$\max_{f\in \mathcal{S}^{*}(ψ)}^{}\left|Φ\left(\log{(f(z)/z)}\right)\right| \quad \text{or} \quad \max_{f\in \mathcal{S}^{*}(ψ)}^{}\ReΦ\left(\log{(f(z)/z)}\right),$$ where $Φ$ is a non-constant entire function. Moreover, we prove certain results on convolution and radius estimates for the case when $ψ(\mathbb{D})$ is starlike.
