A new formulation of a result by McLaughlin for an arbitrary dimension 2 matrix power

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Authors
Larcombe, Peter J.
Affiliation
University of Derby
Issue Date
2016-01

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Abstract
We obtain an existing 2004 result of J. McLaughlin which gives explicit entries for a general dimension 2 matrix raised to an arbitrary power. Our formulation employs so called Catalan polynomials related to the crucial parameter of McLaughlin’s statement, and is a new one running along a different line of argument.
Citation
Larcombe, P. J. (2016) 'A new formulation of a result by McLaughlin for an arbitrary dimension 2 matrix power', Bulletin of the Institute of Combinatorics and its Applications (ICA), vol. 76, pp. 45-53
Publisher
The Institute of Combinatorics and its Applications (ICA)
Journal
Bulletin of the Institute of Combinatorics and its Applications (ICA)
URI
http://hdl.handle.net/10545/620862
Type
Article
Language
en
ISSN
1183-1278
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