An extension of Schwick's theorem for normal families

• Autorzy: Yasheng Ye , Xuecheng Pang , Liu Yang
• Języki publikacji: EN

Abstrakty

EN

In this paper, the definition of the derivative of meromorphic functions is extended to holomorphic maps from a plane domain into the complex projective space. We then use it to study the normality criteria for families of holomorphic maps. The results obtained generalize and improve Schwick's theorem for normal families.

Kategorie tematyczne

• 30D45: Bloch functions, normal functions, normal families
• 32A19: Normal families of functions, mappings
• 32H02: Holomorphic mappings, (holomorphic) embeddings and related questions
• 32H30: Value distribution theory in higher dimensions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2015
• Tom: 115
• Numer: 1
• Strony: 23-31

Daty

wydano

2015

Twórcy

autor

Yasheng Ye

• Department of Mathematics, University of Shanghai for Science and Technology, Shanghai, 200093, P.R. China

autor

Xuecheng Pang

• Department of Mathematics, East China Normal University, Shanghai, 200062, P.R. China

autor

Liu Yang

• Department of Mathematics, East China Normal University, Shanghai, 200062, P.R. China

Identyfikatory

DOI

10.4064/ap115-1-2