亚纯函数的正规族与例外函数

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基金项目: 国家自然科学基金(11961068); 新疆维吾尔自治区自然科学基金 (2016D01A059)

Normal families of meromorphic functions and omitted functions

School of Mathematical Sciences, Xinjiang Normal University, Urumqi　830054, China

摘要: 本文研究了涉及例外函数的亚纯函数的正规定则. 我们利用P-Z引理, 采用反证法, 得到一个新的正规定则: 若亚纯函数族的零点重级均大于等于3, 则涉及例外函数的亚纯函数族是正规的.
- 亚纯函数 /
- 正规族 /
- 例外函数
Abstract: In this paper, we study the normal criterion of meromorphic functions concerning omitted functions. By using P-Z lemma and the method of proof by contradiction, we obtain a new normal criterion: if the zeros of the families of meromorphic functions are all have multiplicity at least 3, then the families of meromorphic functions concerning omitted functions are normal.
- meromorphic function /
- normal family /
- omitted function

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