Wolfram Language & System 11.0 (2016)|Legacy Documentation

This is documentation for an earlier version of the Wolfram Language.View current documentation (Version 11.2)

Rational Functions

The Wolfram Language can efficiently handle both univariate and multivariate rational functions, with built-in functions immediately implementing standard algebraic transformations.


Apart decompose into partial fractions with minimal denominators

Together put rational functions over a common denominator

Cancel cancel common factors between numerator and denominator

Numerator, Denominator pick out numerator, denominator

PolynomialRemainder  ▪  PolynomialQuotient

Factor factor numerator and denominator, canceling common factors

Expand expand everything except denominators

ExpandAll expand everything, including denominators

ExpandNumerator, ExpandDenominator expand numerators and denominators only

PadeApproximant find a rational approximation to any function

Operations on Rational Functions

Residue  ▪  Integrate  ▪  Sum