A condition for anti-diagonals product invariance across powers of $2 \times 2$ matrix sets characterizing a particular class of polynomial families

Authors
Larcombe, Peter J.
Fennessey, Eric J.
Affiliation
University of Derby
Issue Date
2015-05

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Abstract
Motivated by some recent work on a particular class of polynomial families associated with certain types of integer sequences, we formulate a sufficient condition under which the anti-diagonals products across sets of characterizing 2 × 2 matrices remain invariant as matrix power increases. Two proofs are given along with some examples.
Citation
Larcombe, P. J., and Fennessey, E. J. (2015) 'A condition for anti-diagonals product invariance across powers of $2 \times 2$ matrix sets characterizing a particular class of polynomial families', Fibonacci Quarterly, 53 (2), pp. 175-179
Publisher
The Fibonacci Association
Journal
Fibonacci Quarterly
URI
http://hdl.handle.net/10545/620852
Additional Links
http://www.fq.math.ca/index.html
http://www.fq.math.ca/53-2.html
Type
Article
Language
en
ISSN
0015-0517
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http://creativecommons.org/licenses/by/4.0/
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