For 
,
,
,
and 
polynomials in 
variables
![[P·Q,R·S]=sum_(i_1,...,i_n>=0)A/(i_1!...i_n!),](/images/equations/BeauzamyandDegotsIdentity/NumberedEquation1.svg) |
(1)
|
where
![A=[R^((i_1,...,i_n))(D_1,...,D_n)Q(x_1,...,x_n)
×P^((i_1,...,i_n))(D_1,...,D_n)S(x_1,...,x_n)],](/images/equations/BeauzamyandDegotsIdentity/NumberedEquation2.svg) |
(2)
|
is the differential operator, ![[X,Y]](/images/equations/BeauzamyandDegotsIdentity/Inline7.svg)
is the Bombieri inner
product, and
 |
(3)
|
Beauzamy and Dégot's Identity
See also
Reznick's IdentityExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Beauzamy and Dégot's Identity." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BeauzamyandDegotsIdentity.html