On zeros of differences of meromorphic functions

• Autorzy: Yong Liu , HongXun Yi
• Języki publikacji: EN

Abstrakty

EN

Let f be a transcendental meromorphic function and $g(z) = f(z+c₁) + ⋯ + f(z+c_k) - kf(z)$ and $g_k(z) = f(z+c₁) ⋯ f(z+c_k) - f^k(z)$. A number of results are obtained concerning the exponents of convergence of the zeros of g(z), $g_k(z)$, g(z)/f(z), and ${g_k(z)}/{f^k(z)}$.

Kategorie tematyczne

• 30D35: Distribution of values, Nevanlinna theory
• 39B12: Iteration theory, iterative and composite equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2011
• Tom: 100
• Numer: 2
• Strony: 167-178

Daty

wydano

2011

Twórcy

autor

Yong Liu

• School of Mathematics, Shandong University, 250100 Jinan, Shandong, P.R. China

autor

HongXun Yi

• School of Mathematics, Shandong University, 250100 Jinan, Shandong, P.R. China

Identyfikatory

DOI

10.4064/ap100-2-6