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Alternative derivation of some regular continued fractions

Published online by Cambridge University Press:  09 April 2009

R. F. C. Walters
R. F. C. Walters
Affiliation:
Department of MathematicsUniversity of Queensland Brisbane
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In this paper we find an expression for ex as the limit of quotients associated with a sequence of matrices, and thence, by using the matrix approach to continued fractions ([5] 12–13, [2] and [4]), we derive the regular continued fraction expansions of e2/k and tan 1/k (where k is a positive integer).

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 8 , Issue 2 , May 1968 , pp. 205 - 212
Copyright
Copyright © Australian Mathematical Society 1968

References

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