One of the Polynomials obtained by taking Powers of the Brahmagupta Matrix. They satisfy the recurrence relation

(1) | |||

(2) |

A list of many others is given by Suryanarayan (1996). Explicitly,

(3) | |||

(4) |

The Brahmagupta Polynomials satisfy

(5) | |||

(6) |

The first few Polynomials are

and

Taking and gives equal to the Pell Numbers and equal to half the Pell-Lucas numbers. The Brahmagupta Polynomials are related to the Morgan-Voyce Polynomials, but the relationship given by Suryanarayan (1996) is incorrect.

**References**

Suryanarayan, E. R. ``The Brahmagupta Polynomials.'' *Fib. Quart.* **34**, 30-39, 1996.

© 1996-9

1999-05-26