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Rational Analogues of the Logarithm Function

Published online by Cambridge University Press:  03 November 2016

J. Lambek and
L. Moser
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In this paper, we consider a sequence lr(x) (r = 1, 2, ..) of rational functions of a positive rational variable x, which approach log x as r→∞. Some properties of these functions are analogous to properties of the natural logarithm, and go over into the latter, when the limit r→∞ is taken. Except for pointing out such limiting results, we shall avoid transcendental methods.

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Type
Research Article
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The Mathematical Gazette , Volume 40 , Issue 331 , February 1956, pp. 5 - 7
Copyright
Copyright © Mathematical Association 1956

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References

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