The Polynomials obtained by setting and in the Lucas Polynomial
Sequence. (The corresponding Polynomials are called Lucas
Polynomials.) The Fibonacci polynomials are defined by the Recurrence Relation

(1) |

(2) |

The Fibonacci polynomials are normalized so that

(3) |

The Fibonacci polynomials are related to the Morgan-Voyce Polynomials by

(4) | |||

(5) |

(Swamy 1968).

**References**

Swamy, M. N. S. ``Further Properties of Morgan-Voyce Polynomials.'' *Fib. Quart.* **6**, 167-175, 1968.

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1999-05-26