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ON THE DIFFERENCE OF COEFFICIENTS OF OZAKI CLOSE-TO-CONVEX FUNCTIONS
Bulletin of the Australian Mathematical Society ( IF 0.6 ) Pub Date : 2020-06-18 , DOI: 10.1017/s0004972720000581 YOUNG JAE SIM , DEREK K. THOMAS
Bulletin of the Australian Mathematical Society ( IF 0.6 ) Pub Date : 2020-06-18 , DOI: 10.1017/s0004972720000581 YOUNG JAE SIM , DEREK K. THOMAS
Let $f$ be analytic in the unit disk $\mathbb{D}=\{z\in \mathbb{C}:|z|<1\}$ and ${\mathcal{S}}$ be the subclass of normalised univalent functions given by $f(z)=z+\sum _{n=2}^{\infty }a_{n}z^{n}$ for $z\in \mathbb{D}$ . We give sharp upper and lower bounds for $|a_{3}|-|a_{2}|$ and other related functionals for the subclass ${\mathcal{F}}_{O}(\unicode[STIX]{x1D706})$ of Ozaki close-to-convex functions.
中文翻译:
关于 OZAKI 近凸函数系数的差异
让$f$ 在单位盘中进行解析$\mathbb{D}=\{z\in \mathbb{C}:|z|<1\}$ 和${\mathcal{S}}$ 是由下式给出的归一化单价函数的子类$f(z)=z+\sum _{n=2}^{\infty }a_{n}z^{n}$ 为了$z\in \mathbb{D}$ . 我们给出了明确的上限和下限$|a_{3}|-|a_{2}|$ 和子类的其他相关功能${\mathcal{F}}_{O}(\unicode[STIX]{x1D706})$ Ozaki 的近凸函数。
更新日期:2020-06-18
中文翻译:
关于 OZAKI 近凸函数系数的差异
让