On the representation of certain reals via the golden ratio

Melham, RS

On the representation of certain reals via the golden ratio

Melham, RS

Permalink

Publication Type:: Journal Article
Citation:: Fibonacci Quarterly, 2010, 48 (2), pp. 150 - 160
Issue Date:: 2010-05-01

Open Access

Copyright Clearance Process

Recently Added
In Progress
Open Access

This item is open access.

Adobe PDF

Download full textAdobe PDF (5.73 MB)

View statistics

Full metadata record

Field	Value	Language
dc.contributor.author	Melham, RS	en_US
dc.date.issued	2010-05-01	en_US
dc.identifier.citation	Fibonacci Quarterly, 2010, 48 (2), pp. 150 - 160	en_US
dc.identifier.issn	0015-0517	en_US
dc.identifier.uri	http://hdl.handle.net/10453/14490
dc.description.abstract	Taking the reciprocal of the golden ratio and summing its non-negative integer powers, we obtain a series that converges. We then consider series obtained by striking out terms of this series, proving key theorems about them and the real numbers to which they converge. Finally, we preassign two-parameter families of real numbers related to the Fibonacci numbers and give their series expansions.	en_US
dc.relation.ispartof	Fibonacci Quarterly	en_US
dc.subject.classification	General Mathematics	en_US
dc.title	On the representation of certain reals via the golden ratio	en_US
dc.type	Journal Article
utslib.citation.volume	2	en_US
utslib.citation.volume	48	en_US
utslib.for	0101 Pure Mathematics	en_US
utslib.for	0103 Numerical and Computational Mathematics	en_US
utslib.for	0199 Other Mathematical Sciences	en_US
dc.location.activity	ISI:000260631200005
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Science
utslib.copyright.status	open_access
pubs.issue	2	en_US
pubs.publication-status	Published	en_US
pubs.volume	48	en_US

Abstract:

Taking the reciprocal of the golden ratio and summing its non-negative integer powers, we obtain a series that converges. We then consider series obtained by striking out terms of this series, proving key theorems about them and the real numbers to which they converge. Finally, we preassign two-parameter families of real numbers related to the Fibonacci numbers and give their series expansions.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/14490