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OALib Journal期刊
ISSN: 2333-9721
费用：99美元
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一个正规定则的推广(英文)
, PP. 25-29
Keywords: 亚纯函数,正规族,例外函数
Abstract:
研究了亚纯函数的正规性,推广了徐焱和庞学成的正规定则.得到:设φ(0)是gc上的一列全纯函数族,且k∈n.设f是g上的一列亚纯函数族,且零点的级数为2,极点的级数至少为k+2.对于任意的f∈f,都有f(k)(z)+a1(z)f(k-1)(z)+…+ak(z)f(z)≠φ(z),这里的a1(z),a2(z),…,ak(z)是g上的全纯函数,则f在g正规.
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