Reference : On indefinite sums weighted by periodic sequences
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Engineering, computing & technology : Computer science
Computational Sciences
http://hdl.handle.net/10993/39332
On indefinite sums weighted by periodic sequences
English
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Sep-2019
Results in Mathematics
Springer
74
3
article 95
Yes (verified by ORBilu)
International
1422-6383
1420-9012
Basel
Germany
[en] Indefinite sum ; anti-difference ; periodic sequence ; generating function ; harmonic number
[en] For any integer $q\geq 2$ we provide a formula to express indefinite sums of a sequence $(f(n))_{n\geq 0}$ weighted by $q$-periodic sequences in terms of indefinite sums of sequences $(f(qn+p))_{n\geq 0}$, where $p\in\{0,\ldots,q-1\}$. When explicit expressions for the latter sums are available, this formula immediately provides explicit expressions for the former sums. We also illustrate this formula through some examples.
University of Luxembourg - UL
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/39332
10.1007/s00025-019-1022-y
http://arxiv.org/abs/1804.06418

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Open access
SumsWeightedPeriodic.pdfAuthor postprint109.55 kBView/Open
Limited access
PV-SumsWeightedPeriodic.pdfPublisher postprint365.05 kBRequest a copy

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.