Theory and Modern Applications
Table 1 The relation between the GLPs and some other polynomials
a | b | Polynomials | |
|---|---|---|---|
1 | −β | First kind Dickson | \(D_{n}(\tau )=\mu _{n}^{1,-\beta}(\tau )\) |
3 | −2 | Fermat–Lucas | \(f_{n}(\tau )=\mu _{n}^{3,-2}(\tau )\) |
2 | −1 | First-kind Chebyshev | \(T_{n}(\tau )=\frac{1}{2}\mu _{n}^{2,-1}(\tau )\) |
2 | 1 | Pell–Lucas | \(P_{n}(\tau )=\mu _{n}^{2,1}(\tau )\) |
1 | 1 | Lucas | \(L_{n}(\tau )=\mu _{n}^{1,1}(\tau )\) |