Some Finite Sums Involving Generalized Fibonacci and Lucas Numbers
By considering Melham's sums (Melham, 2004), we compute various more general nonalternating sums, alternating sums, and sums that alternate according to (−1)2𝑛+1 involving the generalized Fibonacci and Lucas numbers.
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/284261 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832565155072835584 |
|---|---|
| author | E. Kılıç N. Ömür Y. T. Ulutaş |
| author_facet | E. Kılıç N. Ömür Y. T. Ulutaş |
| author_sort | E. Kılıç |
| collection | DOAJ |
| description | By considering Melham's sums (Melham, 2004), we compute various more general nonalternating sums, alternating sums, and sums that alternate according to (−1)2𝑛+1 involving the generalized Fibonacci and Lucas numbers. |
| format | Article |
| id | doaj-art-36914f315ca5496d8267b637ee6654b4 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-36914f315ca5496d8267b637ee6654b42025-02-03T01:09:09ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/284261284261Some Finite Sums Involving Generalized Fibonacci and Lucas NumbersE. Kılıç0N. Ömür1Y. T. Ulutaş2Mathematics Department, TOBB University of Economics and Technology , Sogutozu, 06560 Ankara, TurkeyMathematics Department, Kocaeli University, 41380 İzmit Kocaeli, TurkeyMathematics Department, Kocaeli University, 41380 İzmit Kocaeli, TurkeyBy considering Melham's sums (Melham, 2004), we compute various more general nonalternating sums, alternating sums, and sums that alternate according to (−1)2𝑛+1 involving the generalized Fibonacci and Lucas numbers.http://dx.doi.org/10.1155/2011/284261 |
| spellingShingle | E. Kılıç N. Ömür Y. T. Ulutaş Some Finite Sums Involving Generalized Fibonacci and Lucas Numbers Discrete Dynamics in Nature and Society |
| title | Some Finite Sums Involving Generalized Fibonacci and Lucas Numbers |
| title_full | Some Finite Sums Involving Generalized Fibonacci and Lucas Numbers |
| title_fullStr | Some Finite Sums Involving Generalized Fibonacci and Lucas Numbers |
| title_full_unstemmed | Some Finite Sums Involving Generalized Fibonacci and Lucas Numbers |
| title_short | Some Finite Sums Involving Generalized Fibonacci and Lucas Numbers |
| title_sort | some finite sums involving generalized fibonacci and lucas numbers |
| url | http://dx.doi.org/10.1155/2011/284261 |
| work_keys_str_mv | AT ekılıc somefinitesumsinvolvinggeneralizedfibonacciandlucasnumbers AT nomur somefinitesumsinvolvinggeneralizedfibonacciandlucasnumbers AT ytulutas somefinitesumsinvolvinggeneralizedfibonacciandlucasnumbers |