Parallelepipedal hypergeometric configurations Sample Clauses

Parallelepipedal hypergeometric configurations. Now let M be a non- singular n n integer matrix and let α, β Cn be two parameter vectors. We write M for the 2n n matrix obtained by concatenating the rows of M and M . The rows of M are the vertices of a parallelepiped of non-zero n-dimensional volume. Let α˜ be the vector with components (α1, . . . , αn, β1, . . . , βn). As in the simplicial case, it turns out to be possible to construct a generating solution of the corre- sponding hypergeometric system (4.5) by computing multidimensional residues.‌ ˜
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