Hypergeometric Polynomials and Integer Programming
نویسندگان
چکیده
We examine connections between A-hypergeometric di erential equations and the theory of integer programming. In the rst part, we develop a \hypergeometric sensitivity analysis" for small variations of constraint constants with creation operators and b-functions. In the second part, we study the indicial polynomial (b-function) along the hyperplane x i = 0 via a correspondence between the optimal value of an integer programming problem and the roots of the indicial polynomial. Grobner bases are used to prove theorems and give counter examples. Mathematics Subject Classi cation (1991): 13P10, 16S32, 33C70, 90C10
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تاریخ انتشار 1997