大学物理 ›› 2012, Vol. 31 ›› Issue (12): 1-1.

• 著者文摘 •    下一篇

涉及周期函数积分的变换公式续谈

吴崇试   

  1. 北京大学物理学院,北京100871
  • 出版日期:2012-12-25 发布日期:2012-12-20

Additional transformation formula applicable to the integrals with periodic integrand

  • Online:2012-12-25 Published:2012-12-20

摘要: 在文献[1]的基础上,进一步提出几个涉及周期函数的变换公式,包括它们的等价形式.这些公式能将周期函数在半周期内的积分与不同形式的无穷积分相互转换.作为这些公式的应用示例,文章直接列举了若干无穷积分的计算结果.

关键词: 周期函数, 定积分, 变换公式

Abstract: As a complementary of the original paper, additional transformation formulas applicable to the integrals of periodic integrand are deduced. These formulas, as well as their equivalent forms, can be used as a transformation between such integral and corresponding integral with one limit of infinity. Some infinite integrals are evaluated 'in terms of these formulas.

Key words: periodic function, definite integral, transformation

中图分类号: 

  • O411.1