大学物理 ›› 2012, Vol. 31 ›› Issue (6): 1-1.

• 著者文摘 •    下一篇

卷积型级数的Mobius反演与柱函数

吴崇试   

  1. 北京大学物理学院,北京100871
  • 出版日期:2012-06-25 发布日期:2012-06-20

Mobius inversion of convolution-type series and cylindrical functions

  • Online:2012-06-25 Published:2012-06-20

摘要: 系统讨论了柱函数与虚宗量柱函数中卷积型级数的Mobius反演问题,包括它们的加法公式与倍乘公式的反演问题.得到了许多有意思的新结果.

关键词: 卷积型级数, Mobius反演, 柱函数, 虚宗量柱函数

Abstract: The application of Mobius inversion of the convolution-type series to the cylindrical functions and modified cylindrical functions,as well as their addition formulas and multiplication formulas,are discussed systematically.Many new interesting results are shown.

Key words: convolution-type series, Mobius inversion, cylindrical functions, modified cylindrical functions

中图分类号: 

  • O411.1