Power Sum Polynomials

Some articles on polynomial, power sum, polynomials, power sum polynomials:

Special Kinds of Symmetric Polynomials - Power-sum Symmetric Polynomials
... For each integer k ≥ 1, the monomial symmetric polynomial m(k,0,…,0)(X1, …, Xn) is of special interest, and called the power sum symmetric polynomial pk(X1, …, Xn), so All symmetric polynomials can be ... More precisely, Any symmetric polynomial in X1, …, Xn can be expressed as a polynomial expression with rational coefficients in the power sum symmetric polynomials p1(X1, …, Xn ... In particular, the remaining power sum polynomials pk(X1, …, Xn) for k > n can be so expressed in the first n power sum polynomials for example In contrast to the situation for the elementary and complete ...

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