Let ST L ( s ) and CV L ( s ) denote the family of analytic and normalized functions f in the unit disk D : = z : | z | < 1 , such that the quantity z f ′ ( z ) / f ( z ) or 1 + z f ″ ( z ) / f ′ ( z ) respectively are lying in the region bounded by the limacon ( u − 1 ) 2 + v 2 − s 4 2 = 4 s 2 u − 1 + s 2 2 + v 2 , where 0 < s ≤ 1 / 2 . The limacon of Pascal is a curve that possesses properties which qualify it for the several applications in mathematics, statistics (hypothesis testing problem) but also in mechanics (fluid processing applications, known limacon technology is employed to extract electrical power from low-grade heat, etc.). In this paper we present some results concerning the behavior of f on the classes ST L ( s ) or CV L ( s ) . Some appropriate examples are given.

中文翻译：

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与 Limaçon 域相关的 Starlike 和 Convex 函数的子类

令 ST L ( s ) 和 CVL ( s ) 表示单位圆盘 D 中的解析函数和归一化函数 f 族：= z : | | | < 1 ，使得量zf ′ ( z ) / f ( z ) 或1 + zf ″ ( z ) / f ′ ( z ) 分别位于由limacon ( u − 1 ) 2 + v 2 界定的区域内− s 4 2 = 4 s 2 u − 1 + s 2 2 + v 2 ，其中 0 < s ≤ 1 / 2 。Pascal 的 limacon 是一条曲线，其特性使其适用于数学、统计学（假设检验问题）和力学（流体处理应用，已知的 limacon 技术用于从低级热量中提取电力，等等。）。在本文中，我们提出了一些关于 f 在类 ST L(s) 或 CVL(s) 上的行为的结果。给出了一些适当的例子。