## Hokkaido Mathematical Journal

### Hypergeometric functions interpolating Appell-Lauricella's $F_D$ and $F_A$

Masaaki YOSHIDA

#### 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.

#### Article information

Source
Hokkaido Math. J., Volume 48, Number 2 (2019), 313-325.

Dates
First available in Project Euclid: 11 July 2019

Permanent link to this document
https://projecteuclid.org/euclid.hokmj/1562810511

Digital Object Identifier
doi:10.14492/hokmj/1562810511

Mathematical Reviews number (MathSciNet)
MR3980945

Zentralblatt MATH identifier
07080097

Subjects
Primary: 33C65: Appell, Horn and Lauricella functions

#### Citation

YOSHIDA, Masaaki. Hypergeometric functions interpolating Appell-Lauricella's $F_D$ and $F_A$. Hokkaido Math. J. 48 (2019), no. 2, 313--325. doi:10.14492/hokmj/1562810511. https://projecteuclid.org/euclid.hokmj/1562810511