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
- 廃棄物埋立地からの浸出水の処理 : 蒸発法の検討
- セラミックス製品による水槽中の藻類等の発生防止
- 1122 位相差駆動による焦点拡大法を用いた集束超音波High Intensity Focused Ultrasound (HIFU)による肝腫瘍照射の臨床応用への可能性
- 水-有機化合物-酢酸3成分系液液界面張力の測定ならびに相関
- 水-炭化水素-酢酸3成分系の界面張力の測定ならびに相関