Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag

Mathematics-Online lexicon:

Rational Functions


A B C D E F G H I J K L M N O P Q R S T U V W X Y Z overview

A rational function $ r$ with the degree of the nominator $ m$ and the degree of the denominator $ n$ is the quotient of two polynomials:

$\displaystyle r(x) = \frac{p(x)}{q(x)} =
\frac{a_0+a_1x+\cdots+a_mx^m}{b_0+b_1x+\cdots+b_nx^n}
\,.
$

This representation is irreducible if $ p$ and $ q$ have no common linear factor.

Then the zeros of the denominator are called poles. The order of the pole corresponds to the multiplicity of the zero.

Examples:


[Links]

  automatically generated 4/ 8/2008