Open AccessSome properties of the generalized Fibonacci and Lucas numbers
Author(s) -
Gospava B. Djordjević,
Snežana Djordjević
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2008655d
Subject(s) - fibonacci number , lucas number , lucas sequence , mathematics , pisano period , fibonacci polynomials , recurrence relation , combinatorics , discrete mathematics , orthogonal polynomials , classical orthogonal polynomials
In this paper we consider the generalized Fibonacci numbers Fn,m and the generalized Lucas numbers Ln,m. Also, we introduce new sequences of numbers An,m, Bn,m, Cn,m and Dn,m. Further, we find the generating functions and some recurrence relations for these sequences of numbers.
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