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An Asymptotic Estimate for the Bernoulli and Euler Numbers

Published online by Cambridge University Press:  20 November 2018

David J. Leeming
David J. Leeming*
Affiliation:
Dept of Math.University of Victoria, VictoriaB.C., Canada
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We derive here simple asymptotic estimates for both the Euler and Bernoulli numbers. The derivations follow easily from known results, but I am unable to find them elsewhere in the literature. C. Jordan [1, p. 245 and p. 303] gives some related inequalities. Other properties of these two classical sets of numbers may be found in [1], [3] and [4].

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 20 , Issue 1 , 01 March 1977 , pp. 109 - 111
Copyright
Copyright © Canadian Mathematical Society 1977

References

1. Jordan, C., Calculus of Finite Differences, Chelsea, NY, 1965.Google Scholar
2. Lehmer, D. H., On the maxima and minima of Bernoulli polynomials, American Math. Monthly, 47 (1940) 533-538.Google Scholar
3. Milne-Thomson, L. M., The Calculus of Finite Differences, Macmillan, London, 1951.Google Scholar
4. Nörlund, N. E., Vorlesungen Über Differenzenrechnung, Chelsea, NY, 1954.Google Scholar