Normal Families and Shared Values of Holomorphic Functions

doi:10.7671/j.issn.1001-411X.2012.02.033

Home > Archive>Volume 33, Issue 2, 2012 >270-272. DOI:10.7671/j.issn.1001-411X.2012.02.033

Normal Families and Shared Values of Holomorphic Functions
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                        10.7671/j.issn.1001-411X.2012.02.033
                    
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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 -a_i(i=1,2) have multiplicity at least 2, then F is normal in D.

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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

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Received:April 22,2011
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Online: April 27,2012
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