rational function
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English[edit]
Noun[edit]
rational function (plural rational functions)
 (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).
 1960, J. L. Walsh, Interpolation and Approximation by Rational Functions in the Complex Domain, 3rd Edition, American Mathematical Society, page 184,
 Our first problem is that of interpolation in prescribed points to a given function by a rational function whose poles are given.
 1970, Ellis Horowitz, Algorithms for Symbolic Integration of Rational Functions, University of Wisconsin–Madison, page 24,
 By Theorem 2.3.2., we have that the righthand side of this equation can be equal to a rational function only if that rational function is equal to zero.
 2000, Alan F. Beardon, Iteration of Rational Functions: Complex Analytic Dynamical Systems, Springer, page 45,
 Let be the class of continuous maps of into itself and let be the subclass of rational functions. […] Now is a closed subset of because if the rational functions converge uniformly to on the complex sphere, then is analytic on the sphere and so it too is rational.
 1960, J. L. Walsh, Interpolation and Approximation by Rational Functions in the Complex Domain, 3rd Edition, American Mathematical Society, page 184,
Hypernyms[edit]
 function, meromorphic function
Hyponyms[edit]
Translations[edit]
function expressible as the quotient of polynomials


References[edit]
 rational function on Wikipedia.Wikipedia