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

• 研究论文 • 上一篇    下一篇



  1. (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   

  1. (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



关键词: 重要常数, 差比数列, 最佳有理分数


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


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