Publication
The generating function of the generalized Fibonacci sequence
| dc.contributor.author | Gonçalves, Armando | |
| dc.contributor.author | Jesus, M. N. de | |
| dc.date.accessioned | 2016-11-09T09:42:54Z | |
| dc.date.available | 2016-11-09T09:42:54Z | |
| dc.date.issued | 2015-05-29 | |
| dc.description.abstract | Using tools of the theory of orthogonal polynomials we obtain the generating function of the generalized Fibonacci sequence established by Petronilho for a sequence of real or complex numbers {Qn} defined by Q0 = 0, Q1 = 1, Qm = ajQm−1 + bjQm−2, m ≡ j (mod k), where k ≥ 3 is a fixed integer, and a0, a1, . . . , ak−1, b0, b1, . . . , bk−1 are 2k given real or complex numbers, with bj #0 for 0 ≤ j ≤ k−1. For this sequence some convergence proprieties are obtained. | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.19/3397 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Integers 15 | pt_PT |
| dc.subject | Orthogonal polynomials | pt_PT |
| dc.subject | Generating function | pt_PT |
| dc.subject | Generalized Fibonacci sequence | pt_PT |
| dc.title | The generating function of the generalized Fibonacci sequence | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.title | Integers | pt_PT |
| rcaap.rights | closedAccess | pt_PT |
| rcaap.type | article | pt_PT |