An Asymptotic Estimate for the Bernoulli and Euler Numbers
Canadian mathematical bulletin, Tome 20 (1977) no. 1, pp. 109-111

Voir la notice de l'article provenant de la source Cambridge University Press

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].
Leeming, David J. An Asymptotic Estimate for the Bernoulli and Euler Numbers. Canadian mathematical bulletin, Tome 20 (1977) no. 1, pp. 109-111. doi: 10.4153/CMB-1977-019-1
@article{10_4153_CMB_1977_019_1,
     author = {Leeming, David J.},
     title = {An {Asymptotic} {Estimate} for the {Bernoulli} and {Euler} {Numbers}},
     journal = {Canadian mathematical bulletin},
     pages = {109--111},
     year = {1977},
     volume = {20},
     number = {1},
     doi = {10.4153/CMB-1977-019-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-019-1/}
}
TY  - JOUR
AU  - Leeming, David J.
TI  - An Asymptotic Estimate for the Bernoulli and Euler Numbers
JO  - Canadian mathematical bulletin
PY  - 1977
SP  - 109
EP  - 111
VL  - 20
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-019-1/
DO  - 10.4153/CMB-1977-019-1
ID  - 10_4153_CMB_1977_019_1
ER  - 
%0 Journal Article
%A Leeming, David J.
%T An Asymptotic Estimate for the Bernoulli and Euler Numbers
%J Canadian mathematical bulletin
%D 1977
%P 109-111
%V 20
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-019-1/
%R 10.4153/CMB-1977-019-1
%F 10_4153_CMB_1977_019_1

[1] 1. Jordan, C., Calculus of Finite Differences, Chelsea, NY, 1965. Google Scholar

[2] 2. Lehmer, D. H., On the maxima and minima of Bernoulli polynomials, American Math. Monthly, 47 (1940) 533-538. Google Scholar

[3] 3. Milne-Thomson, L. M., The Calculus of Finite Differences, Macmillan, London, 1951. Google Scholar

[4] 4. Nörlund, N. E., Vorlesungen Über Differenzenrechnung, Chelsea, NY, 1954. Google Scholar

Cité par Sources :