Normality criteria and multiple values II

• Autorzy: Yan Xu , Jianming Chang
• Języki publikacji: EN

Abstrakty

EN

Let ℱ be a family of meromorphic functions defined in a domain D, let ψ (≢ 0, ∞) be a meromorphic function in D, and k be a positive integer. If, for every f ∈ ℱ and z ∈ D, (1) f≠ 0, $f^{(k)}≠ 0$; (2) all zeros of $f^{(k)}-ψ$ have multiplicities at least (k+2)/k; (3) all poles of ψ have multiplicities at most k, then ℱ is normal in D.

Kategorie tematyczne

• 30D45: Bloch functions, normal functions, normal families
• 30D05: Functional equations in the complex domain, iteration and composition of analytic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2011
• Tom: 102
• Numer: 1
• Strony: 91-99

Daty

wydano

2011

Twórcy

autor

Yan Xu

• Institute of Mathematics, School of Mathematics, Nanjing Normal University, Nanjing 210046, P.R. China

autor

Jianming Chang

• Department of Mathematics, Changshu Institute of Technology, Changshu, Jiangsu, 215500, P.R. China

Identyfikatory

DOI

10.4064/ap102-1-9