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
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
Normal Families and Shared Values of Holomorphic Functions
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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