ON A CERTAIN CLASS OF FUNCTIONS OF BOUNDED BOUNDARY ROTATION
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概要
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Let ＄V_{k}(￥rho)＄ denote the class of functions of bounded boundary rotation of order ＄￥rho＄. introduced by Padmanabhan and Parvatham. Let ＄V_{k}(￥rho, B)＄ be a subclass of ＄V_{k}(￥rho)＄ consisting of functions ＄f(z)＄ , such that ＄|f(z)|￥leq B＄ . Let ＄S^{*}(￥alpha)＄ denote the class of strongly starlike functions of order a introduced by Brannan and Kirwan. In this note we obtain a relationship between ＄V_{k}(￥rho, B)＄ and ＄S^{*}(￥alpha)＄ . We also find a coefficient estimate for the class ＄V_{k}(￥rho, B)＄ .
- Yokohama City University and Yokohama National Universityの論文
- 1995-00-00
Yokohama City University and Yokohama National University | 論文
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