Closed formulas for finite sums of weighted fractional generalized fibonacci products

Melham, RS

Closed formulas for finite sums of weighted fractional generalized fibonacci products

Melham, RS

Permalink

Publication Type:: Journal Article
Citation:: Fibonacci Quarterly, 2018, 56 (2), pp. 167 - 176
Issue Date:: 2018-05-01

Open Access

Copyright Clearance Process

Recently Added
In Progress
Open Access

This item is open access.

Adobe PDF

Download Published VersionAdobe PDF (211.34 kB)

View statistics

Full metadata record

Field	Value	Language
dc.contributor.author	Melham, RS	en_US
dc.date.issued	2018-05-01	en_US
dc.identifier.citation	Fibonacci Quarterly, 2018, 56 (2), pp. 167 - 176	en_US
dc.identifier.issn	0015-0517	en_US
dc.identifier.uri	http://hdl.handle.net/10453/133948
dc.description.abstract	© 2018 Fibonacci Association. All rights reserved. In this paper, we present closed formulas for finite sums of fractions involving weighted products of generalized Fibonacci numbers. There are two significant features that characterize the main results. First, the product in the denominator of each summand can be arbitrarily long. Second, in each summand that we consider, there is a so-called weight term. The weight term occurs either in the numerator or the denominator of the summand.	en_US
dc.relation.ispartof	Fibonacci Quarterly	en_US
dc.subject.classification	General Mathematics	en_US
dc.title	Closed formulas for finite sums of weighted fractional generalized fibonacci products	en_US
dc.type	Journal Article
utslib.citation.volume	2	en_US
utslib.citation.volume	56	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
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	56	en_US

Abstract:

© 2018 Fibonacci Association. All rights reserved. In this paper, we present closed formulas for finite sums of fractions involving weighted products of generalized Fibonacci numbers. There are two significant features that characterize the main results. First, the product in the denominator of each summand can be arbitrarily long. Second, in each summand that we consider, there is a so-called weight term. The weight term occurs either in the numerator or the denominator of the summand.

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

http://hdl.handle.net/10453/133948