Displaying similar documents to “Nested derivatives: a simple method for computing series expansions of inverse functions.”

Asymptotic behaviour of a difference equation with complex-valued coefficients

Josef Kalas (2005)

Archivum Mathematicum

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The asymptotic behaviour for solutions of a difference equation z n = f ( n , z n ) , where the complex-valued function f ( n , z ) is in some meaning close to a holomorphic function h , and of a Riccati difference equation is studied using a Lyapunov function method. The paper is motivated by papers on the asymptotic behaviour of the solutions of differential equations with complex-valued right-hand sides.