On certain series expansions of the sine function: Catalan numbers and convergence

Hdl Handle:
http://hdl.handle.net/10545/621041
Title:
On certain series expansions of the sine function: Catalan numbers and convergence
Authors:
Larcombe, Peter J.; O'Neill, Sam T.; Fennessey, Eric J.
Abstract:
The appearance of Catalan numbers in certain infinite series expansions of the sine function was first reported well over a decade ago. A combination of computation and analysis is employed as we return to this topic and examine the outstanding issue of convergence for this suite of results and also for the general case expansion.
Affiliation:
University of Derby
Citation:
Larcombe, P. J., ONeill, S. T. and Fennessey, E. J., (2014) 'On certain series expansions of the sine function: Catalan numbers and convergence', Fibonacci Quart. 52, no. 3, 236–242.
Publisher:
The Fibonacci Association
Journal:
Fibonacci Quarterly
Issue Date:
Aug-2014
URI:
http://hdl.handle.net/10545/621041
Additional Links:
http://www.fq.math.ca/52-3.html; http://www.fq.math.ca/index.html
Type:
Article
Language:
en
ISSN:
0015-0517
Appears in Collections:
Department of Electronics, Computing & Maths

Full metadata record

DC FieldValue Language
dc.contributor.authorLarcombe, Peter J.en
dc.contributor.authorO'Neill, Sam T.en
dc.contributor.authorFennessey, Eric J.en
dc.date.accessioned2016-11-23T14:39:50Z-
dc.date.available2016-11-23T14:39:50Z-
dc.date.issued2014-08-
dc.identifier.citationLarcombe, P. J., ONeill, S. T. and Fennessey, E. J., (2014) 'On certain series expansions of the sine function: Catalan numbers and convergence', Fibonacci Quart. 52, no. 3, 236–242.en
dc.identifier.issn0015-0517-
dc.identifier.urihttp://hdl.handle.net/10545/621041-
dc.description.abstractThe appearance of Catalan numbers in certain infinite series expansions of the sine function was first reported well over a decade ago. A combination of computation and analysis is employed as we return to this topic and examine the outstanding issue of convergence for this suite of results and also for the general case expansion.en
dc.language.isoenen
dc.publisherThe Fibonacci Associationen
dc.relation.urlhttp://www.fq.math.ca/52-3.htmlen
dc.relation.urlhttp://www.fq.math.ca/index.htmlen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectDiscrete mathematicsen
dc.titleOn certain series expansions of the sine function: Catalan numbers and convergenceen
dc.typeArticleen
dc.contributor.departmentUniversity of Derbyen
dc.identifier.journalFibonacci Quarterlyen
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