大学物理 ›› 2017, Vol. 36 ›› Issue (6): 1-5.doi: 10.16854 /j.cnki.1000-0712.2017.06.001

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反常Frullani 积分

吴崇试   

  1. 北京大学物理学院,北京100871
  • 收稿日期:2016-12-09 出版日期:2017-06-20 发布日期:2017-06-20
  • 作者简介:吴崇试( 1938—) ,男江苏泰州人,北京大学物理系教授,博士生导师( 已退休) ,一直从事理论物

The Anomaly Frullani Integrals

WU Chong-shi   

  1. School of Physics,Peking University,Beijing 100871,China
  • Received:2016-12-09 Online:2017-06-20 Published:2017-06-20

摘要: 讨论了一类特殊的反常积分,称为反常Frullani 积分,它们形似Frullani 积分,然而不满足Frullani 积分存在条件.从两个基本的反常Frullani 积分出发,导出了一系列的方程Frullani 积分.

关键词: 反常积分, Frullani 积分, 反常Frullani 积分

Abstract: A series of improper integrals,anomaly Frullani integrals,are discussed. They cannot be ascribed to the famous Frullani integrals,although they are in the form similar to the Frullani integrals,but fail to meet the requirements for the latter. Many anomaly Frullani integrals are deduced from two typical ones.