INTEGRAL REPRESENTATIONS OF APPELL'S F2, F3, HORN'S H2 AND OLSSON'S FP FUNCTIONS

Katsuhisa MIMACHI

doi:10.2206/kyushujm.74.1

Kyushu Journal of Mathematics

Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116

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INTEGRAL REPRESENTATIONS OF APPELL'S F₂, F₃, HORN'S H₂ AND OLSSON'S F_P FUNCTIONS

Katsuhisa MIMACHI

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Keywords: Appell's hypergeometric functions, Horn's hypergeometric function, Olsson's hypergeometric function, integral representations

JOURNAL FREE ACCESS

2020 Volume 74 Issue 1 Pages 1-13

DOI https://doi.org/10.2206/kyushujm.74.1

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Abstract

We give integral representations of Euler type for Appell's hypergeometric functions F₂, F₃, Horn's hypergeometric function H₂ and Olsson's hypergeometric function F_P. Their integrands are the same (up to a constant factor), and only the regions of integration vary.

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