rational function
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).
Noun
- 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).
- Our first problem is that of interpolation in prescribed points to a given function by a rational function whose poles are given. - 1960, J. L. Walsh, Interpolation and Approximation by Rational Functions in the Complex...
- By Theorem 2.3.2., we have that the right-hand side of this equation can be equal to a rational function only if that rational function is equal to zero. - 1970, Ellis Horowitz, Algorithms for Symbolic Integration of...
- Let #92;mathcal#123;C#125; be the class of continuous maps of #92;mathbb#123;C#125;#95;#92;infty into itself and let #92;mathcal#123;R#125; be the subclass of rational functions.[…]Now #92;mathcal#123;R#125; is a closed...