Fixed points of meromorphic functions and of their differences and shifts

• Autorzy: Zong-Xuan Chen
• Języki publikacji: EN

Abstrakty

EN

Let f(z) be a finite order transcendental meromorphic function such that λ(1/f(z)) < σ(f(z)), and let c ∈ ℂ∖{0} be a constant such that f(z+c) ≢ f(z) + c. We mainly prove that
$max{τ(f(z)),τ(Δ_{c}f(z))} = max{τ(f(z)),τ(f(z+c))} = max{τ(Δ_{c}f(z)),τ(f(z+c))} = σ(f(z))$,
where τ(g(z)) denotes the exponent of convergence of fixed points of the meromorphic function g(z), and σ(g(z)) denotes the order of growth of g(z).

Kategorie tematyczne

• 39A10: Difference equations, additive
• 30D35: Distribution of values, Nevanlinna theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2013
• Tom: 109
• Numer: 2
• Strony: 153-163

Daty

wydano

2013

Twórcy

autor

Zong-Xuan Chen

• School of Mathematical Sciences, South China Normal University, 510631, Guangzhou, P.R. China

Identyfikatory

DOI

10.4064/ap109-2-4