On a scaled balanced-power product recurrence

Journal article


Larcombe, Peter J. and Fennessey, Eric J. 2016. On a scaled balanced-power product recurrence. Fibonacci Quarterly.
AuthorsLarcombe, Peter J. and Fennessey, Eric J.
Abstract

A power product recurrence (due to M. W. Bunder) is extended here by the introduction of a scaling factor, and delivers a sequence whose general term closed form is derived for both degenerate and non-degenerate characteristic root cases. It is shown how recurrence parameter conditions dictate the nature of each solution type, and a fundamental link between them is highlighted together with some other observations and results.

A power product recurrence (due to M. W. Bunder) is extended
here by the introduction of a scaling factor, and delivers a sequence
whose general term closed form is derived for both degenerate and
non-degenerate characteristic root cases. It is shown how recurrence
parameter conditions dictate the nature of each solution type, and a
fundamental link between them is highlighted together with some other
observations and results.

KeywordsDiscrete mathematics; Applied mathematics
Year2016
JournalFibonacci Quarterly
PublisherThe Fibonacci Association
ISSN0015-0517
Web address (URL)http://hdl.handle.net/10545/620866
http://creativecommons.org/licenses/by/4.0/
hdl:10545/620866
Publication datesAug 2016
Publication process dates
Deposited16 Nov 2016, 15:57
ContributorsUniversity of Derby
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