On infinite divisibility of normed product of Cauchy densities

  • Authors:

  • Katsuo Takano

  • Affiliations:

  • Department of Mathematics, Faculty of Science, Ibaraki University, Mito-city, Ibaraki 310, Japan

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2003

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Abstract

It is shown that the following probability density function 2/π 1/∏n=1∞(1+x2/n2) is an infinitely divisible density.