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Dynamics of a continued fraction of Ramanujan with random coefficients

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posted on 2025-05-11, 07:49 authored by Jonathan M. Borwein, D. Russell Luke
We study a generalization of a continued fraction of Ramanujan with random, complexvalued coefficients. A study of the continued fraction is equivalent to an analysis of the convergence of certain stochastic difference equations and the stability of randomdynamical systems. We determine the convergence properties of stochastic difference equations and so the divergence of their corresponding continued fractions.

History

Journal title

Abstract and Applied Analysis

Volume

2005

Issue

5

Pagination

449-467

Publisher

Hindawi Publishing Corporation

Language

  • en, English

College/Research Centre

Faculty of Science and Information Technology

School

School of Mathematical and Physical Sciences

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