Dynamics of a continued fraction of Ramanujan with random coefficients

Jonathan M. Borwein and D. Russell Luke

Abstract and Applied Analysis, 2005, vol. 2005, 1-19

Abstract:

We study a generalization of a continued fraction of Ramanujan with random, complex-valued coefficients. A study of the continued fraction is equivalent to an analysis of the convergence of certain stochastic difference equations and the stability of random dynamical systems. We determine the convergence properties of stochastic difference equations and so the divergence of their corresponding continued fractions.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:162798

DOI: 10.1155/AAA.2005.449

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