homogeneous polynomial


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homogeneous polynomial

[‚hä·mə′jē·nē·əs ‚päl·ə′nō·mē·əl]
(mathematics)
A polynomial all of whose terms have the same total degree; equivalently it is a homogenous function of the variables involved.
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j] (x,y,[alpha]) are homogeneous polynomials in (x,y,[alpha]) of degree j(j = 2, 3,.
j] (x,0,[alpha]) are homogeneous polynomials in (x, [alpha]) of degree j,j = 2, 3,.
2], [alpha]) is the unique solution in the linear space of homogeneous polynomials of degree 2 in 3 real variables (x, [alpha]) = ([x.
For any d, n [member of] N define the space of homogeneous polynomials as
Saff, and the author [3] a result for homogeneous polynomials on star-like domains was obtained.
W] is again a polynomial algebra, and it can be generated by n algebraically independent homogeneous polynomials [f.
the algebra generated by homogeneous polynomial functions on V of degree q.
lambda]]) can be represented by a homogeneous polynomial in [S.
d]) are homogeneous polynomials and their restriction on [S.
3]) denote the space of harmonic homogeneous polynomials of degree l in three variables.