### 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 language | English |
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Title of host publication | Finite Form Representations for Meijer G and Fox H Functions |

Place of Publication | Cham |

Publisher | Springer |

Pages | 5-18 |

Number of pages | 14 |

ISBN (Electronic) | 978-3-030-28790-0 |

ISBN (Print) | 978-3-030-28789-4 |

DOIs | |

Publication status | Published - 2019 |

### Publication series

Name | Lecture Notes in Statistics |
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Publisher | Springer |

Volume | 223 |

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