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Exact(21)
The leading coefficient of is.
We will denote by the leading coefficient of any polynomial, and.
The leading coefficient of C n ( x ) is 2 n ( λ + n − 1 n ).
Let a k - 1 be the leading coefficient of q ( k ! l + r, k ) for every 0 ≤ r ≤ k ! - 1.
From (17), we note that the leading coefficient of H n ( x | λ ) is H 0 = 1.
Thus, by (3), we easily see that the leading coefficient of H n ( x | λ ) is H 0 = 1.
Similar(39)
The leading coefficients of the elliptic operator are VMO functions.
In order to make use of the above limit process, we need to show that the leading coefficients of all constituent polynomials of the functions that we have considered are identical.
We differentiate the formula (1.2) with respect to z, and after multiplication by ( 1 − z e i θ ) ( 1 − z e i ψ ), we compare the leading coefficients of z n − 1.
Proof (a) We differentiate the formula (1.2) with respect to z, and after multiplication by ( 1 − z e i θ ) ( 1 − z e i ψ ), we compare the leading coefficients of z n − 1.
Our estimates inspire us to investigate the connection between the leading coefficients of Hilbert polynomials for invariant subspaces of the symmetric Fock space and Arveson's curvature invariant for coinvariant subspaces.
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Justyna Jupowicz-Kozak
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