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Date: 22-7-2019
1209
Date: 9-9-2019
1406
Date: 28-4-2019
2199
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One of the polynomials obtained by taking powers of the Brahmagupta matrix. They satisfy the recurrence relation
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(2) |
A list of many others is given by Suryanarayan (1996). Explicitly,
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The Brahmagupta polynomials satisfy
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The first few polynomials are
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and
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(15) |
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(16) |
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.
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