PFAFFIAN SYSTEMS OF CONFLUENT HYPERGEOMETRIC FUNCTIONS OF TWO VARIABLES
2020 年 74 巻 1 号 p. 63-104
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2020 年 74 巻 1 号 p. 63-104
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.
