A generated approximation related to Burnside's formula

被引：22
|
作者：
Lu, Dawei [1 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116023, Peoples R China
来源：
JOURNAL OF NUMBER THEORY | 2014年 / 136卷
关键词：
Burnside formula; Stirling formula; Rate of convergence; GAMMA; CONSTANT;
D O I：
10.1016/j.jnt.2013.10.016
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, based on Burnside's formula, a generated approximation of the factorial function and an inequality for the gamma function are established. Finally, for demonstrating the superiority of our new series over Burnside's formula and the classical Stirling's series, some numerical computations are given. (C) 2013 Elsevier Inc. All rights reserved.
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页码：414 / 422
页数：9
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