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Solution of a general homogeneous linear difference equation

Published online by Cambridge University Press:  17 February 2009

V. N. Singh
V. N. Singh
Affiliation:
Department of Mathematics and Astronomy, University of Lucknow, Lucknow 226007, India
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Abstract

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Solutions of a homogeneous (r + 1)-term linear difference equation are given in two different forms. One involves the elements of a certain matrix, while the other is in terms of certain lower Hessenberg determinants. The results generalize some earlier results of Brown [1] for the solution of a 3-term linear difference equation.

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 22 , Issue 1 , July 1980 , pp. 53 - 57
Copyright
Copyright © Australian Mathematical Society 1980

References

[1]Brown, A., “Solution of a linear difference equation”, Bull. Austral. Math. Soc. 11 (1974), 325–331.CrossRefGoogle Scholar