Laurent Polynomial
A Laurent polynomial with Coefficients in the Field 
is an algebraic objectthat is typically expressed in the form
where the
are elements of , and only finitely many of the are Nonzero. A Laurent polynomial is analgebraic object in the sense that it is treated as a Polynomial except that the indeterminant ``
'' can also have Negative Powers. Expressed more precisely, the collection of Laurent polynomials with Coefficients in a Field form a Ring, denoted 
, with Ring operations given by componentwise addition andmultiplication according to the relation
for all
and 
in the Integers. Formally, this is equivalent to saying that isthe Group Ring of the Integers and the Field . This corresponds to 
(the Polynomial ring in one variable for ) being the Group Ring or Monoid ring for theMonoid of natural numbers and the Field .See also Polynomial
References
Lang, S. Undergraduate Algebra, 2nd ed. New York: Springer-Verlag, 1990.
- Frullani's Integral
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