<div class="csl-bib-body">
<div class="csl-entry">Tomovski, Ž., & Gerhold, S. (2022). Mathieu-Fibonacci series. <i>Journal of Integer Sequences</i>, <i>25</i>(6), Article 22.6.3.</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/141984
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dc.description.abstract
Using reciprocal sums of powers of Fibonacci and Lucas numbers, we present series representations for generalized Mathieu series via Lambert-type series. An application of the Laplace-type integral for Dirichlet series yields some integral representations of reciprocal sums of the Fibonacci numbers and generalized Mathieu series. Finally, we analyze the asymptotic behavior of Mathieu-Fibonacci series by the Mellin transform method.
en
dc.language.iso
en
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dc.publisher
University of Waterloo
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dc.relation.ispartof
Journal of Integer Sequences
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dc.subject
Mathieu series
en
dc.subject
Fibonacci number
en
dc.subject
Lucas number
en
dc.subject
Lambert series
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dc.subject
theta function
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dc.subject
Mellin transform
en
dc.title
Mathieu-Fibonacci series
en
dc.type
Article
en
dc.type
Artikel
de
dc.type.category
Original Research Article
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tuw.container.volume
25
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tuw.container.issue
6
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tuw.journal.peerreviewed
true
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tuw.peerreviewed
true
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wb.publication.intCoWork
International Co-publication
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tuw.researchTopic.id
A3
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tuw.researchTopic.name
Fundamental Mathematics Research
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tuw.researchTopic.value
100
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dcterms.isPartOf.title
Journal of Integer Sequences
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tuw.publication.orgunit
E105 - Institut für Stochastik und Wirtschaftsmathematik
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dc.identifier.articleid
22.6.3
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dc.identifier.eissn
1530-7638
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dc.description.numberOfPages
15
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tuw.author.orcid
0000-0002-4172-3956
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
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wb.sciencebranch.value
100
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item.openairetype
Article
-
item.openairetype
Artikel
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item.grantfulltext
none
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item.cerifentitytype
Publications
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item.cerifentitytype
Publications
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item.languageiso639-1
en
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item.openairecristype
http://purl.org/coar/resource_type/c_18cf
-
item.openairecristype
http://purl.org/coar/resource_type/c_18cf
-
item.fulltext
no Fulltext
-
crisitem.author.dept
E105-01 - Forschungsbereich Risikomanagement in Finanz- und Versicherungsmathematik
-
crisitem.author.orcid
0000-0002-4172-3956
-
crisitem.author.parentorg
E105 - Institut für Stochastik und Wirtschaftsmathematik