Fixed Points of Meromorphic Solutions for Some Difference Equations

Abstract

We investigate fixed points of meromorphic solutions $y(z)$ for the Pielou logistic equation and obtain some estimates of exponents of convergence of fixed points of $y(z)$ and its shifts $y(z+n)$, differences $\mathrm{\Delta }y(z)=y(z+1)-y(z)$, and divided differences $\mathrm{\Delta }y(z)/y(z)$.