On the Reciprocal Sums of Products of Two Generalized Bi-Periodic Fibonacci Numbers
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choo, Younseok | - |
dc.date.accessioned | 2021-09-02T02:43:22Z | - |
dc.date.available | 2021-09-02T02:43:22Z | - |
dc.date.created | 2021-03-11 | - |
dc.date.issued | 2021-01 | - |
dc.identifier.issn | 2227-7390 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/15649 | - |
dc.description.abstract | This paper concerns the properties of the generalized bi-periodic Fibonacci numbers {Gn} generated from the recurrence relation: G(n) = aG(n-1)+G(n-2) (n is even) or G(n) = bG(n-1) + G(n-2) (n is odd). We derive general identities for the reciprocal sums of products of two generalized bi-periodic Fibonacci numbers. More precisely, we obtain formulas for the integer parts of the numbers (Sigma(infinity)(k=n) (a/b)(xi(k+1)/)G(k)G(k+m))(-1) ,m = 0,2,4 ..., and (Sigma(infinity)(k=n)1/G(k)G(k+m))(-1), m =1,3,5, .... | - |
dc.publisher | MDPI | - |
dc.title | On the Reciprocal Sums of Products of Two Generalized Bi-Periodic Fibonacci Numbers | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Choo, Younseok | - |
dc.identifier.doi | 10.3390/math9020178 | - |
dc.identifier.scopusid | 2-s2.0-85099863419 | - |
dc.identifier.wosid | 000611357200001 | - |
dc.identifier.bibliographicCitation | MATHEMATICS, v.9, no.2, pp.1 - 12 | - |
dc.relation.isPartOf | MATHEMATICS | - |
dc.citation.title | MATHEMATICS | - |
dc.citation.volume | 9 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 1 | - |
dc.citation.endPage | 12 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordAuthor | Bi-periodic Fibonacci numbers | - |
dc.subject.keywordAuthor | Floor function | - |
dc.subject.keywordAuthor | Reciprocal | - |
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