OKUBO TYPE DIFFERENTIAL EQUATIONS DERIVED FROM HYPERGEOMETRIC FUNCTIONS FD
- 1 January 2021
- journal article
- research article
- Published by Faculty of Mathematics, Kyushu University in Kyushu Journal of Mathematics
- Vol. 75 (1), 1-21
- https://doi.org/10.2206/kyushujm.75.1
Abstract
From Lauricella's hypergeometric functions in n variables, we construct a special type of Pfaffian equations of rank n + 1 called Okubo type differential equations. For each homogenized Okubo type differential equation, we construct special n + 1 coordinate functions called flat coordinate functions and an (n + 1)-tuple of homogeneous functions called a potential vector.Keywords
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