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    邓炳茂, 雷春林. 涉及全纯函数分担值的正规定则[J]. 华南农业大学学报, 2012, 33(2): 270-272. DOI: 10.7671/j.issn.1001-411X.2012.02.033
    引用本文: 邓炳茂, 雷春林. 涉及全纯函数分担值的正规定则[J]. 华南农业大学学报, 2012, 33(2): 270-272. DOI: 10.7671/j.issn.1001-411X.2012.02.033
    shu
    DENG Bing-mao, LEI Chun-lin. Normal Families and Shared Values of Holomorphic Functions[J]. Journal of South China Agricultural University, 2012, 33(2): 270-272. DOI: 10.7671/j.issn.1001-411X.2012.02.033
    Citation: DENG Bing-mao, LEI Chun-lin. Normal Families and Shared Values of Holomorphic Functions[J]. Journal of South China Agricultural University, 2012, 33(2): 270-272. DOI: 10.7671/j.issn.1001-411X.2012.02.033
    shu

    涉及全纯函数分担值的正规定则

    Normal Families and Shared Values of Holomorphic Functions

      摘要
    • 摘要: 设F 为区域D 内的一族全纯函数，a1、a2 为2个不同的有穷复数，M 为正整数. 若对任意的f∈F, f(z)-a1 至多有M 个零点, 且f -ai(i=1,2) 的零点重级至少为2，则F 在区域D 内正规.

       

      Abstract: Let F be a family of holomorphic functions in domain D, let a1, a2 be 2 distinct finite complex numbers, and let M be a positive integer. Suppose that each f∈F, f(z)-a1 has at most M zeros, and all zeros of f -ai(i=1,2) have multiplicity at least 2, then F is normal in D.

       

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