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Solution of homogeneous linear difference equations

Published online by Cambridge University Press:  17 February 2009

J. D. Love
J. D. Love
Affiliation:
Department of Applied Mathematics, Australian National University, Canberra A.C.T., 2600, Australia
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Abstract

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When the first two elements of a sequence satisfying a second order difference equation are prescribed, the remaining elements are evaluated from a continued fraction and a simple product.

Type
Research Article
Information
The ANZIAM Journal , Volume 21 , Issue 3 , January 1980 , pp. 293 - 296
Copyright
Copyright © Australian Mathematical Society 1980

References

[1]Brand, L., Differential and difference equations (Wiley, New York, 1966), p. 363.Google Scholar
[2]Brown, A., “Solution of a linear difference equation”, Bull. Austral. Math. Soc. 11 (1974), 325–331.CrossRefGoogle Scholar
[3]Funk, P., Die linearen Differenzengleichungen und ihre Anwendung in der Theorie der Baukonstruktionen (Springer, Berlin, 1920), p. 26.Google Scholar
[4]Perron, O., Die Lehre von den Kettenbrüchen (Teubner, Leipzig, 1913), p. 11.Google Scholar