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(mathematics, complex analysis, algebraic geometry) Any function expressible as the quotient of two (coprime) polynomials (and which thus has poles at a finite, discrete set of points which are the roots of the denominator).

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rational function

To study the mapping properties near infinity, she analyzed the poles and zeros of the rational function f(z) = (z3 - 1)/(z2 + 1).

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To study the mapping properties near infinity, she analyzed the poles and zeros of the rational function f(z) = (z3 - 1)/(z2 + 1).

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