A New Series Representation and the Laplace Transform for the Lognormal Distribution

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Abstract

In this paper, the lognormal distribution is studied, and a new series representation is proposed. This series uses the powers of the bilinear function. From it, a simplified form is obtained and used to compute the Laplace transform of the distribution.

Original languageEnglish
Article number3474
Number of pages13
JournalMathematics
Volume10
Issue number19
DOIs
Publication statusPublished - 23 Sept 2022

Keywords

  • bilinear function
  • Laplace transform
  • lognormal distribution
  • series representation

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