dc.contributor.author Larcombe, Peter J. dc.contributor.author Fennessey, Eric J. dc.date.accessioned 2016-11-15T11:59:22Z dc.date.available 2016-11-15T11:59:22Z dc.date.issued 2015-05 dc.identifier.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 en dc.identifier.issn 0015-0517 dc.identifier.uri http://hdl.handle.net/10545/620852 dc.description.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. dc.language.iso en en dc.publisher The Fibonacci Association en dc.relation.url http://www.fq.math.ca/index.html en dc.relation.url http://www.fq.math.ca/53-2.html en dc.rights.uri http://creativecommons.org/licenses/by/4.0/ en dc.subject Discrete mathematics en dc.subject Applied mathematics en dc.title A condition for anti-diagonals product invariance across powers of $2 \times 2$ matrix sets characterizing a particular class of polynomial families en dc.type Article en dc.contributor.department University of Derby en dc.identifier.journal Fibonacci Quarterly en html.description.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.
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