For $f$ analytic in the unit disk $\mathbb{D}$, we consider the close-to-convex analogue of a class of starlike functions introduced by R. Singh [‘On a class of star-like functions’, Compos. Math.19(1) (1968), 78–82]. This class of functions is defined by $|zf^{\prime }(z)/g(z)-1|<1$ for $z\in \mathbb{D}$, where $g$ is starlike in $\mathbb{D}$. Coefficient and other results are obtained for this class of functions.

中文翻译：

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关于某些星状函数的近凸类比

为了$f$解析单位盘$\mathbb{D}$，我们考虑由 R. Singh 引入的一类星形函数的近似凸类似物['关于一类星形函数'，作曲。数学。19(1) (1968), 78-82]。此类函数定义为$|zf^{\prime }(z)/g(z)-1|<1$为了$z\in \mathbb{D}$， 在哪里$g$像星星一样$\mathbb{D}$. 获得此类函数的系数和其他结果。