The meijer G and fox H functions

Carlos A. Coelho, Barry C. Arnold

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In this chapter besides briefly introducing the Meijer G and Fox H functions through their usual definitions, the authors open the way to the establishment of several cases where there are finite representations for these functions which have not been previously identified and that as such are not recognized by any of the available software. These cases are related to the distribution of three extended products of independent Beta random variables, which are treated in Chap. 3.

Original languageEnglish
Title of host publicationFinite Form Representations for Meijer G and Fox H Functions
Place of PublicationCham
PublisherSpringer
Pages5-18
Number of pages14
ISBN (Electronic)978-3-030-28790-0
ISBN (Print)978-3-030-28789-4
DOIs
Publication statusPublished - 2019

Publication series

NameLecture Notes in Statistics
PublisherSpringer
Volume223
ISSN (Print)0930-0325
ISSN (Electronic)2197-7186

Keywords

  • Beta distribution
  • Characteristic functions
  • Inverse Mellin transform
  • Mellin transform
  • Mellin-Barnes contour integral
  • Products of Beta r.v.’s

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  • Cite this

    Coelho, C. A., & Arnold, B. C. (2019). The meijer G and fox H functions. In Finite Form Representations for Meijer G and Fox H Functions (pp. 5-18). (Lecture Notes in Statistics; Vol. 223). Cham: Springer. https://doi.org/10.1007/978-3-030-28790-0_2