Pregled bibliografske jedinice broj: 811728
On Polynomial Identities for Recursive Sequences
On Polynomial Identities for Recursive Sequences // Miskolc Mathematical Notes, 18 (2017), 1; 327-336 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 811728 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On Polynomial Identities for Recursive Sequences
Autori
Martinjak, Ivica ; Vrsaljko, Iva
Izvornik
Miskolc Mathematical Notes (1787-2405) 18
(2017), 1;
327-336
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
integer sequence ; Pell equation ; polynomial identity ; Melham sum
Sažetak
In this paper we extend the notion of Melham sum to the Pell and Pell-Lucas sequences. While the proofs of general statements rely on the binomial theorem, we prove some spacial cases by the known Pell identities. We also give extensions of obtained expressions to the other recursive sequences.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Ivica Martinjak
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
