PFAFFIAN SYSTEMS OF CONFLUENT HYPERGEOMETRIC FUNCTIONS OF TWO VARIABLES
- 1 January 2020
- journal article
- research article
- Published by Faculty of Mathematics, Kyushu University in Kyushu Journal of Mathematics
- Vol. 74 (1), 63-104
- https://doi.org/10.2206/kyushujm.74.63
Abstract
We study Pfaffian systems of confluent hypergeometric functions of two variables with rank three, by using rational twisted cohomology groups associated with Euler-type integral representations of them. We give bases of the cohomology groups, whose intersection matrices depend only on parameters. Each connection matrix of our Pfaffian systems admits a decomposition into five parts, each of which is the product of a constant matrix and a rational 1-form on the space of variables.Keywords
This publication has 1 reference indexed in Scilit:
- MONODROMY AND PFAFFIAN OF LAURICELLA^|^apos;S FD IN TERMS OF THE INTERSECTION FORMS OF TWISTED (CO)HOMOLOGY GROUPSKyushu Journal of Mathematics, 2013