Shared values, Picard values and normality
スポンサーリンク
概要
- 論文の詳細を見る
It is known that a family of meromorphic functions is normal if each function in the family shares a 3-element set with its derivative. In this paper we consider value distribution and normality problems with regard to 2-element shared sets. First we construct an example, by use of the Weierstrass doubly periodic functions, to show that a 3-element shared set can not be reduced to a 2-element shared set in general. We obtain a new criterion of normal families and new Picard-type theorems. The proofs make use of some results in complex dynamics. More examples are constructed to show that our assumptions are necessary.
論文 | ランダム
- わが国における産業論研究の展開--戦後産業発展との関連において
- 水銀化合物の転換と微生物 (昭和47年度〔醗酵協会〕総会特集)
- 有害な合成有機化合物の微生物による集積と分解 (昭和41年度秋季総会(特集))
- 麹菌の菌体内α-アミラーゼについて-4・5-
- 麹菌の菌体内α-アミラーゼについて-3-