Geodesic
Asymptotic expansions of certain sums involving powers of binomial coefficients
Journal of integer sequences, Tome 13 (2010) no. 4
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},
     year = {2010},
     volume = {13},
     number = {4},
     zbl = {1197.05006},
     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/