A symptotic Expansions of Certain Sums Involving Powers of Binomial Coefficients

被引：0

作者：

Zhao, Chun-Xue ^{[1
]}

Zhao, Feng-Zhen ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

来源：

JOURNAL OF INTEGER SEQUENCES | 2010年 / 13卷 / 04期

关键词：

binomial coefficients; Laplace's method; harmonic numbers; Stirling number; asymptotic expansion;

D O I：

10.4.10

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：13

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