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.
|Number of pages||31|
|Journal||Journal of Mathematical Sciences (Japan)|
|Publication status||Published - Dec 1 2013|
All Science Journal Classification (ASJC) codes