Pregled bibliografske jedinice broj: 977215
Complementary Families of the Fibonacci-Lucas Relations
Complementary Families of the Fibonacci-Lucas Relations // Integers, 19 (2019), A2; 1-10 (međunarodna recenzija, članak, znanstveni)
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Naslov
Complementary Families of the Fibonacci-Lucas Relations
Autori
Martinjak, Ivica ; Prodinger, Helmut
Izvornik
Integers (1553-1732) 19
(2019), A2;
1-10
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Fibonacci sequence, Sury identity, tilings
Sažetak
In this paper we present two families of Fibonacci-Lucas identities, with the Sury's identity being the best known representative of one of the families. While these results can be proved by means of the basic identity relating Fibonacci and Lucas sequences we also provide a bijective proof. Both families are then treated by generating functions.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
