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Fixed points of meromorphic solutions for some difference equations. (English) Zbl 1272.30043

Summary: 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 \(\Delta y(z) = y(z + 1) - y(z)\), and divided differences \(\Delta y(z)/y(z)\).

MSC:

30D05 Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable
30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
39A10 Additive difference equations
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