“Brahmagupta Polynomial”的概念、定义、习题解题方法及翻译-数学辞典

单词

Brahmagupta Polynomial

释义

Brahmagupta Polynomial

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-Lucasnumbers. 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.

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