- Title
- Dynamics of a continued fraction of Ramanujan with random coefficients
- Creator
- Borwein, Jonathan M.; Luke, D. Russell
- Relation
- Abstract and Applied Analysis Vol. 2005, Issue 5, p. 449-467
- Publisher Link
- http://dx.doi.org/10.1155/AAA.2005.449
- Publisher
- Hindawi Publishing Corporation
- Resource Type
- journal article
- Date
- 2004
- Description
- 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.
- Subject
- Ramanujan; continued fractions; stochastic difference equations
- Identifier
- http://hdl.handle.net/1959.13/940270
- Identifier
- uon:12979
- Identifier
- ISSN:1085-3375
- Language
- eng
- Full Text
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| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | ATTACHMENT01 | Publisher version (open access) | 3 MB | Adobe Acrobat PDF | View Details Download |