The generating function of the generalized Fibonacci sequence
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,...
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| Format: | article |
| Language: | eng |
| Published: |
2016
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| Online Access: | http://hdl.handle.net/10400.19/3397 |
| Country: | Portugal |
| Oai: | oai:repositorio.ipv.pt:10400.19/3397 |