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Fibonacci numbers and trigonometry

Published online by Cambridge University Press:  01 August 2016

Barry Lewis
Barry Lewis*
Affiliation:
21 Muswell Hill Road, London N10 3JB
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Extract

This article started life as an investigation into certain aspects of the Fibonacci numbers, ‘morphed’ seamlessly into the structure of some infinite matrices and finally resolved into a general set of results that link structural aspects of Fibonacci numbers with trigonometric and hyperbolic functions. It is a surprising fact, but while I can find evidence that the link between these areas has been noted in the past, I can find no evidence that the link has been systematically developed.

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Type
Articles
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The Mathematical Gazette , Volume 88 , Issue 512 , July 2004 , pp. 194 - 204
Copyright
Copyright © The Mathematical Association 2004

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References

1. Vajda, S., Fibonacci & Lucas Numbers, and the Golden Section, Ellis Horwood (1989) pp. 124–126.Google Scholar
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3. Graham, R., Knuth, D., Patashnik, O., Concrete Mathematics, Addison-Wesley (2000).Google Scholar
4. Wilf, Herbert, Generatingfunctionology, Academic Press (1994) p. 33. Also available (for free !) from http://www.cis.upenn.edu/~wilf Google Scholar