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BUILT-IN MATHEMATICA SYMBOL
BellY
BellY[n, k, {x1, ..., xn-k+1}]
gives the partial Bell polynomial 
.
BellY[n, k, m]
gives the generalized partial Bell polynomial of a matrix m.
BellY[m]
gives the generalized Bell polynomial of a matrix m.
Details
- Mathematical function, suitable for both symbolic and numeric manipulations.
- The BellY polynomial
is given by 
Boole[m1+2 m2++n mn
n
m1+m2++mnk] 
(
)ms. - The partial Bell polynomial can be used to express the
derivative of a composition of two functions through the Faa di Bruno formula 
. - The generalized Bell polynomial can be used to express the
derivative of a composition of 
functions 
. - BellY[n, k, m] is equivalent to BellY[
] where 
is formed by adding UnitVector[n, k] to m as a first column.
New in 8
