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.
Citation
Jonathan M. Borwein. D. Russell Luke. "Dynamics of a continued fraction of Ramanujan with random coefficients." Abstr. Appl. Anal. 2005 (5) 449 - 467, 30 June 2005. https://doi.org/10.1155/AAA.2005.449
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