ON A SUBCLASS OF STARLIKE FUNCTIONS WITH BOUNDED TURNING

被引：0

作者：

Mocanu, Petru T. ^{[1
]}

机构：

[1] Babes Bolyai Univ, Fac Math & Comp Sci, 1 M Kogalniceanu Str, Cluj Napoca 400084, Romania

来源：

REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES | 2010年 / 55卷 / 05期

关键词：

starlike functions; bounded turning functions; differential subordination;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A(n) be the class of analytic functions on the unit disc U of the form f(z) = z + a(n) + 1z (n+1) +..., z is an element of U, with A(1) = A. Let S* be the subclass of A consisting of starlike functions and let R be the class of functions in A which are of bounding turning (rotation), i.e., R = {f is an element of A; Re f' (z) > 0, z is an element of U}. It is well known that S* not subset of R and R not subset of S*. The main result of this paper is to obtain a subclass of S* which is contained in R.

引用

页码：375 / 379

页数：5