双单叶星形和凸函数的系数边界
摘要: 通过限定单叶函数及其逆分别从属于不同的对象,定义了两类一般化的双单叶星形族S*(a1,b1,a2,b2,α1,α2)和凸族K*(a1,b1,a2,b2,α1,α2)。讨论得到它们泰勒展式中前两项系数的边界估计值。
On Coefficients Bounds for Classes of Bi-Starlike and Bi-Convex Functions
Keywords:
- 双单叶星形函数 /
- 双单叶凸函数 /
- 系数估计 /
- 从属
Abstract: We introduce two general classes S* (a1 ,b1 ,a2 ,b2 ,α1 ,α2 ) ,K* (a1 ,b1 ,a2 ,b2 ,α1 ,α2 ) of the bi‐star‐like and bi‐convex functions defined by subordination with different functions ,respectively .In this paper , it obtains the bounds on the first and second Taylor‐Maclaurin coefficients for them ,which extends some important results(know n or new ) .