Massively parallel search for linear factors in polynomials with many variables

We present a new algorithm for the computation of the irreducible factors of degree at most d, with multiplicity, of multivariate lacunary polynomials over fields of characteristic zero. The algorithm reduces this computation to the computation of ...

A monomial orthogonal polynomial of several variables is of the form x^@a-Q"@a(x) for a multiindex @a@?N"0^d^+^1 and it has the least L^2 norm among all polynomials of the form x^@a-P(x), where P and Q"@a are polynomials of degree less than the total ...

Hahn polynomials of several variables can be defined by using the Jacobi polynomials on the simplex as a generating function. Starting from this connection, a number of properties for these two families of orthogonal polynomials are derived. It is shown ...