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Orientador(es)
Resumo(s)
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.
Descrição
Palavras-chave
Orthogonal polynomials Generating function Generalized Fibonacci sequence
Contexto Educativo
Citação
Editora
Integers 15