Asymptotic Expansions of Central Binomial Coefficents and Catalan Numbers

被引：0

作者：

Elezovic, Neven ^{[1
]}

机构：

[1] Univ Zagreb, Fac Elect Engn & Comp, Unska 3, Zagreb 10000, Croatia

来源：

JOURNAL OF INTEGER SEQUENCES | 2014年 / 17卷 / 02期

关键词：

binomia coefficient; catalan number; asymptotic expension; gamma function;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give systematic view of the asymptotic expension of two well-known sequences,the central binomial coefficients and the Catalan numbers. The main Point is Explanation of the nature of the best shift in variable n,in order to obtain "nice" asymptotic expansions.we also give a complete asymptotic expansion of partial sums of these sequences.

引用

页数：14

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