Abstract
We give a combinatorial formula of the dimension of global solutions to a generalization of Gauss-Aomoto-Gelfand hypergeometric system, where the quadratic differential operators are replaced by higher order operators. We also derive a polynomial estimate of the dimension of global solutions for the case in 3 × 3 variables.
| Original language | English |
|---|---|
| Pages (from-to) | 285-315 |
| Number of pages | 31 |
| Journal | Journal of Mathematical Sciences (Japan) |
| Volume | 20 |
| Issue number | 2 |
| Publication status | Published - 2013 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)