Geodesic
Asymptotic expansions of certain sums involving powers of binomial coefficients
Journal of integer sequences, Tome 13 (2010) no. 4.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper, we investigate the computation of sums involving binomial coefficients. We give asymptotic expansions of certain sums concerning powers of binomial coefficients by using the multi-Laplace asymptotic integral theorem.
Classification : 05A10, 11B65
Keywords: binomial coefficients, Laplace's method, harmonic numbers, Stirling number, asymptotic expansion 
@article{JIS_2010__13_4_a1,
     author = {Zhao, Chun-Xue and Zhao, Feng-Zhen},
     title = {Asymptotic expansions of certain sums involving powers of binomial coefficients},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {13},
     number = {4},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2010__13_4_a1/}
}
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Zhao, Chun-Xue; Zhao, Feng-Zhen. Asymptotic expansions of certain sums involving powers of binomial coefficients. Journal of integer sequences, Tome 13 (2010) no. 4. http://geodesic.mathdoc.fr/item/JIS_2010__13_4_a1/