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Parameter shift in normal generalized hypergeometric systems. (English) Zbl 0768.33016
Summary: We treat the problem of shifting parameters of \({\mathcal A}\)-hypergeometric systems when their associated toric varieties are normal. In this context we define and determine the Bernstein-Sato polynomials for the natural morphisms of shifting parameters. They are not Bernstein-Sato polynomials in a usual sense. We also give some examples.

33C70 Other hypergeometric functions and integrals in several variables
14M25 Toric varieties, Newton polyhedra, Okounkov bodies
16W50 Graded rings and modules (associative rings and algebras)
39B32 Functional equations for complex functions
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