The sequences of Horadam, Williams and Philippou as generalized Lucas sequences

Shannon, AG

The sequences of Horadam, Williams and Philippou as generalized Lucas sequences

Shannon, AG

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Publication Type:: Journal Article
Citation:: Advanced Studies in Contemporary Mathematics (Kyungshang), 2013, 23 (3), pp. 525 - 532
Issue Date:: 2013-07-01

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Field	Value	Language
dc.contributor.author	Shannon, AG https://orcid.org/0000-0003-0116-0666	en_US
dc.date.issued	2013-07-01	en_US
dc.identifier.citation	Advanced Studies in Contemporary Mathematics (Kyungshang), 2013, 23 (3), pp. 525 - 532	en_US
dc.identifier.issn	1229-3067	en_US
dc.identifier.uri	http://hdl.handle.net/10453/118283
dc.description.abstract	Horadam extended the Lucas recursive sequences of order 2 in a series of influential papers. Williams further generalized some of the Lucas properties for order 3, and Williams and Philippou separately developed analogous results for the arbitrary order case. This paper inter-relates and generalizes some of the major results of these authors in so far as they are clearly analogous to some well-known second order cases.	en_US
dc.relation.ispartof	Advanced Studies in Contemporary Mathematics (Kyungshang)	en_US
dc.subject.classification	General Mathematics	en_US
dc.title	The sequences of Horadam, Williams and Philippou as generalized Lucas sequences	en_US
dc.type	Journal Article
utslib.citation.volume	3	en_US
utslib.citation.volume	23	en_US
utslib.for	0802 Computation Theory and Mathematics	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
utslib.copyright.status	closed_access
pubs.issue	3	en_US
pubs.publication-status	Published	en_US
pubs.volume	23	en_US

Abstract:

Horadam extended the Lucas recursive sequences of order 2 in a series of influential papers. Williams further generalized some of the Lucas properties for order 3, and Williams and Philippou separately developed analogous results for the arbitrary order case. This paper inter-relates and generalizes some of the major results of these authors in so far as they are clearly analogous to some well-known second order cases.

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http://hdl.handle.net/10453/118283