The generalized Roper-Suffridge extension operator for some biholomorphic mappings |
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| Authors: | Xiaosong Liu |
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| Institution: | School of Mathematics and Computation Science, Zhanjiang Normal University, Zhanjiang, Guangdong 524048, People's Republic of China |
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| Abstract: | Suppose f is a spirallike function of type β (or starlike function of order α) on the unit disk D in C. Let  , where 1?p1?2 (or 0<p1?2), pj?1, j=2,…,n, are real numbers. In this paper, we prove that |
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| Keywords: | Spirallikeness of type β Starlikeness of order α Roper-Suffridge extension operator |
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