Results 111 to 120 of about 187 (159)

PROPERTIES OF FIBONACCI AND LUCAS SEQUENCES VIA FIBONACCI LIKE MATRICES

Advances in Mathematics: Scientific Journal, 2022
Some interesting identities of Fibonacci and Lucas Sequences by using Fibonacci like Matrices are discussed.
G.S. Kawale, R.M. Lahurikar
openaire   +1 more source

SUMS, PRODUCTS AND IDENTITIES INVOLVING k-FIBONACCI AND k-LUCAS SEQUENCES

JP Journal of Algebra, Number Theory and Applications, 2014
Summary: In this paper, some basic properties of the \(k\)-Fibonacci and \(k\)-Lucas sequences are provided. Their relationship allows us to obtain some new properties involving sums and products of terms of these sequences. Furthermore, as a consequence of the Binet's formula for each one, we also prove some identities involving these sequences.
Catarino, P., Vasco, P., Borges, A., Campos, H., Aires, A. P.   +4 more
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Some identities of the generalized Fibonacci and Lucas sequences

Applied Mathematics and Computation, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, Jizhen, Zhang, Zhizheng
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Integration Sequences of Fibonacci and Lucas Polynomials

1993
Let us consider the Fibonacci polynomials U n (x)= W n (0,1; x, - 1) and the Lucas polynomials V n (x) = W n (2,x; x, - 1) (See [6] and [7] for background material on the sequences W n ) defined as $$ {U_n}(x) = x{U_{{n - 1}}}(x) + {U_{{n - 2}}}(x)\;\;\left[ {{U_0}(x) = 0,\;{U_1}(x) = 1} \right] $$ (1.1) and $$ {V_n}(x) = x{V_{{n - 1}}}(x)
Alwyn F. Horadam, Piero Filipponi
openaire   +1 more source