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A note on integration of rational functions

Jan Mařík (1991)

Mathematica Bohemica

Let P and Q be polynomials in one variable with complex coefficients and let n be a natural number. Suppose that Q is not constant and has only simple roots. Then there is a rational function ϕ with ϕ ' = P / Q n + 1 if and only if the Wronskian of the functions Q ' , ( Q 2 ) ' , ... , ( Q n ) ' , P is divisible by Q .

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