Abstract
Continued fractions are intimately connected with second-order difference equations. Every continued fraction may be associated with a second-order difference equation; and conversely, every second-order difference equation may be derived from some continued fraction. The first point of view is useful for computing continued fractions, the second for computing the minimal solutions.
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© 1999 Springer Science+Business Media New York
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Elaydi, S.N. (1999). Applications to Continued Fractions and Orthogonal Polynomials. In: An Introduction to Difference Equations. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3110-1_9
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DOI: https://doi.org/10.1007/978-1-4757-3110-1_9
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-3112-5
Online ISBN: 978-1-4757-3110-1
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