| 关于P个对称点的星像函数族——谨以本文献给母校三十周年校庆 |
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| 引用本文： | 谭海鸥.关于P个对称点的星像函数族——谨以本文献给母校三十周年校庆[J].怀化学院学报,1988(6). |
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| 作者姓名： | 谭海鸥 |
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| 作者单位： | 湘潭矿业学院 我校数学科七七届毕业生 |
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| 摘 要： | 本文引入了一类新的解析函数族——关于P个对称点的星像函数族。在讨论该函数族与P次对称星像函数族S_P~*之间关系的基础上,导出了其系数估计、偏差性质、积分平均估计以及建立了其积分表达式。所得的结果均推广Sakaguichi、Das以及Thangamani等人关于对称点的星像函数的相应结果,并且包含了星像函数族S~*的许多己知结果。
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| 关 键 词： | 对称点 星像函数 偏差 积分平均 积分表达式 |
ON STARLIKE FUNCTIONS WITH RESPECT TO P-SYMMETRIC POINTS |
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| Tan Haiou.ON STARLIKE FUNCTIONS WITH RESPECT TO P-SYMMETRIC POINTS[J].Journal of Huaihua University,1988(6). |
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| Authors: | Tan Haiou |
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| Institution: | Xiang Tan Mining Institute |
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| Abstract: | In the present paper, we introduced a new family of analytic functions-the sta-
rlike functions respect to P-symmetric points; on the ground of investigating the relationship of the family and the symmetrical starlike functions of order p, we deduced its coefficient estimates、 distortion theorem and the estimation of integral means, and founded its integral representations. The results expanded the corresponding results of Sakaguichi. Das and Thangamani on the starlike fnuctions with respect to symmetric points points and included some familiar results of starlike functions. |
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| Keywords: | symmetric point starlike function ditortion integral means integral representation |
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