几个重要常数的差比数列研究

doi:10.3969/j.issn.1001-2400.2011.06.027

J4 ›› 2011, Vol. 38 ›› Issue (6): 163-166+192.doi: 10.3969/j.issn.1001-2400.2011.06.027

几个重要常数的差比数列研究

梁昌洪;史琰

(西安电子科技大学天线与微波技术重点实验室，陕西西安 710071)

收稿日期:2011-08-19 出版日期:2011-12-20 发布日期:2011-11-29
通讯作者: 梁昌洪
作者简介:梁昌洪(1943-)，男，教授，E-mail: chhliang@xidian.edu.cn

Research on some important constants of the arithmetic-geometric sequence

LIANG Changhong;SHI Yan

(Science and Technology on Antenna and Microwave Lab., Xidian Univ., Xi'an 710071， China)

Received:2011-08-19 Online:2011-12-20 Published:2011-11-29
Contact: LIANG Changhong

摘要/Abstract

摘要：

着重研究了几个重要常数所构成的差比数列．除圆周率π和指数e之外，还引入了Euler常数γ和非线性混沌点k_∞，它们几乎无一例外地当n充分大时，趋于一定值，这其中的奥秘很值得进一步探索．文中还给出了这几个重要常数的最佳有理分数逼近．

关键词: 重要常数, 差比数列, 最佳有理分数

Abstract:

Some arithmetic-geometric sequences consisting of the important constants including not only the ratio of circumference π and exponential e but also Euler constant γ and nonlinear chaos point k_∞ are discussed. The phenomenon that without exception these arithmetic-geometric sequences approach the constant values as n increases has been deeply studied. The best approximations of the rational fraction to these important constants are given.

Key words: important constants, arithmetic-geometric sequences, best approximations of rational fraction

中图分类号:

O156

梁昌洪;史琰. 几个重要常数的差比数列研究[J]. J4, 2011, 38(6): 163-166+192.

LIANG Changhong;SHI Yan. Research on some important constants of the arithmetic-geometric sequence[J]. J4, 2011, 38(6): 163-166+192.

几个重要常数的差比数列研究

Research on some important constants of the arithmetic-geometric sequence

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