龙芳, 鲁三芽. 关于单叶解析函数一类子族的增长、掩盖定理[J]. 南昌航空大学学报(自然科学版), 2013, 27(3): 57-60. DOI: 10.3969/j.issn.1001-4926.2013.09.010
引用本文: 龙芳, 鲁三芽. 关于单叶解析函数一类子族的增长、掩盖定理[J]. 南昌航空大学学报(自然科学版), 2013, 27(3): 57-60. DOI: 10.3969/j.issn.1001-4926.2013.09.010
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LONG Fang, LU San-ya. Growth and Covering Theorems of One Subclass of Univalent Analysis Functions[J]. Journal of nanchang hangkong university(Natural science edition), 2013, 27(3): 57-60. DOI: 10.3969/j.issn.1001-4926.2013.09.010
Citation: LONG Fang, LU San-ya. Growth and Covering Theorems of One Subclass of Univalent Analysis Functions[J]. Journal of nanchang hangkong university(Natural science edition), 2013, 27(3): 57-60. DOI: 10.3969/j.issn.1001-4926.2013.09.010
shu

关于单叶解析函数一类子族的增长、掩盖定理

Growth and Covering Theorems of One Subclass of Univalent Analysis Functions

    摘要
  • 摘要: 本文研究了单叶解析函数的一类子族Ŝβα族,令f(z)∈Ŝβα且z=0是f(z)-z的k+1阶零点,我们得到了f(z)的较为精细的增长、掩盖定理,所得结论推广了某些已知结果。

     

    Abstract: In this paper, a subclass of univalent analytic functions Ŝβα is investigated. Let f∈Ŝβα and z=0 is a zero of order k+1 of f(z)-z, the refining growth and covering theorems for f(z) is obtained. Our results generalize some known conclusions.

     

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