The fixed points of solutions of some \(q\)-difference equations (Q1722492)

Summary: The purpose of this paper is to investigate the fixed points of solutions \(f(z)\) of some \(q\)-difference equations and obtain some results about the exponents of convergence of fixed points of \(f(z)\) and \(f(q^j z) \text{ }(j \in \mathbb{N}_+)\), \(q\)-differences \(\Delta_q f(z) = f(q z) - f(z)\), and \(q\)-divided differences \(\Delta_q f(z) / f(z)\).