NEW SUMS IDENTITIES IN WEIGHTED CATALAN TRIANGLE WITH THE POWERS OF GENERALIZED FIBONACCI AND LUCAS NUMBERS
| dc.contributor.author | Kilic, Emrah | |
| dc.contributor.author | Yalciner, Aynur | |
| dc.date.accessioned | 2020-03-26T18:51:44Z | |
| dc.date.available | 2020-03-26T18:51:44Z | |
| dc.date.issued | 2014 | |
| dc.department | Selçuk Üniversitesi | en_US |
| dc.description.abstract | In this paper, we consider a generalized Catalan triangle defined by k(m)/n(2n n - k) for positive integer m. Then we compute the weighted half binomial sums with the certain powers of generalized Fibonacci and Lucas numbers of the form Sigma(n)(k=0) (2n n + k) k(m)/nX(tk)(r), where X-n either generalized Fibonacci or Lucas numbers, t and r are integers for 1 <= m <= 6. After we describe a general methodology to show how to compute the sums for further values of m. | en_US |
| dc.description.sponsorship | Scientific Research Office (BAP) of Selcuk UniversitySelcuk University | en_US |
| dc.description.sponsorship | Work of A. Y. is supported by the Scientific Research Office (BAP) of Selcuk University. | en_US |
| dc.identifier.endpage | 400 | en_US |
| dc.identifier.issn | 0381-7032 | en_US |
| dc.identifier.scopusquality | Q4 | en_US |
| dc.identifier.startpage | 391 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12395/31020 | |
| dc.identifier.volume | 115 | en_US |
| dc.identifier.wos | WOS:000337715300029 | en_US |
| dc.identifier.wosquality | Q4 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | CHARLES BABBAGE RES CTR | en_US |
| dc.relation.ispartof | ARS COMBINATORIA | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.selcuk | 20240510_oaig | en_US |
| dc.subject | Catalan triangle | en_US |
| dc.subject | sums identites | en_US |
| dc.subject | partial binomial sum | en_US |
| dc.subject | recursions | en_US |
| dc.title | NEW SUMS IDENTITIES IN WEIGHTED CATALAN TRIANGLE WITH THE POWERS OF GENERALIZED FIBONACCI AND LUCAS NUMBERS | en_US |
| dc.type | Article | en_US |
