Polynomial and rational solutions of holonomic systems
classification
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holonomicpolynomialrationalsolutionsalgebraalgorithmsassociatedcomplex
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The aim of this paper is to give two new algorithms, which are elimination free, to find polynomial and rational solutions for a given holonomic system associated to a set of linear differential operators in the Weyl algebra D = k<x_1, ..., x_n, dx_1, ..., dx_n> where k is a subfield of the complex numbers.
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