作为导数实部大于零的解析函数类的推广,研究了一类接近凸解析函数,讨论了此类函数的如下性质:偏差定理、凸半径、部分和的接近凸性和极值函数,也研究了解析函数幂级数展开式中除首项外前n项系数为零的子类.
A class of close-to-convex functions is investigated, which is the generalization of the class of analytic functions whose derivatives have positive real parts. The following properties are discussed: distortion theorems, the radius of convexity, close-to-convexity of the partial sums and extremal functions.The subclass which contains functions with initial zero coefficients is also studied.
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