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A Continuant Resolvable into Rational Factors

Published online by Cambridge University Press:  15 September 2014

Thomas Muir
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Extract

(1) In a paper in the Proceedings of the London Mathematical Society, vol. xxxiii. p. 229, Professor Elliott has occasion to consider the equation

which, it is stated, presents difficulties when a direct algebraical solution is attempted, but is seen indirectly to be

according as p is odd or even.

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 24 , 1904 , pp. 105 - 112
Copyright
Copyright © Royal Society of Edinburgh 1904

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References

page 106 note * These are equivalent to multiplication row-wise by unity in the form

page 111 note * It should be noted that in the derived continuant the vertical differences are β - b 2, b 1, β, b 1, β.