2010Journal of Shantou UniversityRequires access

On Constructions and Applications of Symmetric Polynomials

He Deng

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Abstract

General expressions for constructing symmetric polynomials are proposed.In Maple,3 to 15-term symmetric polynomials,permute symmetric polynomials,Si symmetric polynomials and Si differential substitution polynomials with sparse terms have been constructed.Multiple-term polynomials have been studied in square decomposition.

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General expressions for constructing symmetric polynomials are proposed.In Maple,3 to 15-term symmetric polynomials,permute symmetric polynomials,Si symmetric polynomials and Si differential substitution polynomials with sparse terms have been constructed.Multiple-term polynomials have been studied in square decomposition.

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Available abstract

General expressions for constructing symmetric polynomials are proposed.In Maple,3 to 15-term symmetric polynomials,permute symmetric polynomials,Si symmetric polynomials and Si differential substitution polynomials with sparse terms have been constructed.Multiple-term polynomials have been studied in square decomposition.

Key concepts: Power sum symmetric polynomial, Elementary symmetric polynomial, Ring of symmetric functions, Mathematics, Complete homogeneous symmetric polynomial, Orthogonal polynomials, Classical orthogonal polynomials, Discrete orthogonal polynomials

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