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多复变数函数中的双全纯映照 被引量:4

Biholomorphic Mappings of Several Complex Variables
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摘要 给出了从属于凸映照的双全纯映照的一些结果,发现这样的双全纯映照具有与凸映照相同的增长定理,但是相应的掩盖定理是没有的.此外还得到了一些关于星形映照的系数问题的粗浅的结果. Some results are given of biholomorphic mappings subordinated to convex mappings. It is found that these mappings have the same growth theorem as that of convex mappings while the corresponding covering theorem does not hold. In addition, some results are obtained of coefficient problems of starlike mappings.
作者 黄应平
出处 《中国科学技术大学学报》 CAS CSCD 北大核心 1998年第3期257-263,共7页 JUSTC
关键词 正规化 双全纯 凸映射 多复变数函数 normalized, biholomorphy, starlike, convex, subordinate
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参考文献3

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同被引文献14

  • 1GONGSHENG,LIUTAISHUN.DISTORTION THEOREMS FOR BIHOLOMORPHICCONVEX MAPPINGS ON BOUNDEDCONVEX CIRCULAR DOMAINS[J].Chinese Annals of Mathematics,Series B,1999,20(3):297-304. 被引量:19
  • 2刘小松,刘太顺.正规化双全纯映射精细的展开式系数估计[J].中国科学(A辑),2005,35(4):361-374. 被引量:13
  • 3冯淑霞,刘太顺.α次的殆星映射的充分判别条件[J].数学物理学报(A辑),2007,27(3):506-514. 被引量:3
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  • 6Gurganus K.φ-like holomorphic functions in Cn and Banach spaces.Trans Amer Math Soc,1975,205:389 406.
  • 7Yin qingjie,Luo ping.On the second-order item coefficients for ∈-starlike mappings in Cn.Chinese Quarterly Journal of Math,2002,17(4):78-82.
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  • 10Graham K I, Kohr G. Geometric Function Theory in One and Higher Dimensions. New York: Marcel Dekker, 2003.

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