Asymptotic Expansions of Certain Sums Involving Powers of Binomial Coefficients
Chun-Xue Zhao and Feng-Zhen Zhao
School of Mathematical Sciences
Dalian University of Technology
Dalian 116024, China
Abstract:
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.
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Received December 21 2009;
revised versions received March 19 2010.
Published in Journal of Integer Sequences, March 23 2010.
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