Normality criteria for families of zero-free meromorphic functions

• Autorzy: Jun-Fan Chen
• Języki publikacji: EN

Abstrakty

EN

Let ℱ be a family of zero-free meromorphic functions in a domain D, let n, k and m be positive integers with n ≥ m+1, and let a ≠ 0 and b be finite complex numbers. If for each f ∈ ℱ, $f^m + a(f^{(k)})ⁿ - b$ has at most nk zeros in D, ignoring multiplicities, then ℱ is normal in D. The examples show that the result is sharp.

Kategorie tematyczne

• 30D45: Bloch functions, normal functions, normal families
• 30D35: Distribution of values, Nevanlinna theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2015
• Tom: 115
• Numer: 1
• Strony: 89-98

Daty

wydano

2015

Twórcy

autor

Jun-Fan Chen

• Department of Mathematics, Fujian Normal University, Fuzhou 350117, Fujian Province, P.R. China

Identyfikatory

DOI

10.4064/ap115-1-7