ISSN:
1570-5846
Keywords:
A-hypergeometric function
;
GKZ-system
;
integer programming
;
b-function
;
indical polynomial
;
Gröbner basis.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We examine connections between A-hypergeometric differential equations and the theory of integer programming. In the first 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 xi=0 via a correspondence between the optimal value of an integer programming problem and the roots of the indicial polynomial. Gröbner bases are used to prove theorems and give counter examples.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1000609524994
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