Editing Laurent polynomial (section)

{{Short description|Polynomial with finitely many terms of the form axⁿ where n ∈ Z}}
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In [[mathematics]], a '''Laurent polynomial''' (named
after [[Pierre Alphonse Laurent]]) in one variable over a [[Field (mathematics)|field]] <math>\mathbb{F}</math> is a [[linear combination]] of positive and negative powers of the variable with [[coefficient]]s in <math>\mathbb{F}</math>. Laurent polynomials in <math>X</math> form a [[Ring (mathematics)|ring]] denoted <math>\mathbb{F}[X, X^{-1}]</math>.<ref>{{MathWorld|urlname=LaurentPolynomial|title=Laurent Polynomial}}</ref> They differ from ordinary [[polynomial]]s in that they may have terms of negative degree. The construction of Laurent polynomials may be iterated, leading to the ring of Laurent polynomials in several variables.  Laurent polynomials are of particular importance in the study of [[several complex variables|complex variables]].