June 2019 Hypergeometric functions interpolating Appell-Lauricella's $F_D$ and $F_A$
Masaaki YOSHIDA
Hokkaido Math. J. 48(2): 313-325 (June 2019). DOI: 10.14492/hokmj/1562810511

Abstract

For Appell-Lauricella's $F_D$, solutions represented by integrals of Euler type over various chambers are studied to re-discover the multiple hypergeometric functions introduced in [Ex]. A family of hypergeometric functions interpolating $F_D$ and $F_A$ is presented.

Citation

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Masaaki YOSHIDA. "Hypergeometric functions interpolating Appell-Lauricella's $F_D$ and $F_A$." Hokkaido Math. J. 48 (2) 313 - 325, June 2019. https://doi.org/10.14492/hokmj/1562810511

Information

Published: June 2019
First available in Project Euclid: 11 July 2019

zbMATH: 07080097
MathSciNet: MR3980945
Digital Object Identifier: 10.14492/hokmj/1562810511

Subjects:
Primary: 33C65

Keywords: Appell-Lauricella's hypergeometric functions

Rights: Copyright © 2019 Hokkaido University, Department of Mathematics

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Vol.48 • No. 2 • June 2019
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