摘要
P.K.Kulshrestha在《共形映照中广义凸性》一文中引进了广义k-凸函数类并建立了类中函数的一些映照性质,特别是极值、偏差定理与旋转定理。本文指出,这些结果除平凡情形外一般不真。
In the paper 'Generalized convexity in conformal mappings', P. K. Kulshrestha introduced the class of generalized k-convex functions and established some mapping properties of functions of the class, especially those related to their extremum, distortion, and rotation theorems. In this note we point out that these results are not generally true except for some trivial cases.
出处
《苏州大学学报（自然科学版）》
CAS
1991年第4期366-368,共3页
Journal of Soochow University(Natural Science Edition)
关键词
共形映照
k-凸函数
凸性
偏差定理
analytic function
generalized k-convex function
distortion theorem
rotation theorem
