β级星像函数类和凸像函数类的扩展问题
SUFFICIENT CONDITIONS FOR CLASSES OF β RANK EXPANDED STARLIKENESS AND CONVEXITY FUNCTIONS

本文利用文[2, 3] 的引理和算子L(a, c)f(z) 的一些性质. 结合Hadamard 乘积, 研究了算子L(a, c)f(z), 获得了L(a, c)f(z) ∈ S*(β) 和L(a, c)f(z) ∈ K (β) 的充分条件, 推广了文[2, 3]的相关结论.
In this article, we study the operator L(a, c)f(z) combining Hadamard products. Using lemmas in [2, 3] and some qualities of operator L(a, c)f(z), we obtain sufficient conditions for L(a, c)f(z) ∈ S*(β) and L(a, c)f(z) ∈ K (β), which generalizes the related results in [2, 3]