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Mathematica > Data Manipulation > Statistical Data Analysis > Probability & Statistics > Statistical Moments and Generating Functions > AugmentedSymmetricPolynomial >
Mathematica > Mathematics and Algorithms > Statistical Data Analysis > Probability & Statistics > Statistical Moments and Generating Functions > AugmentedSymmetricPolynomial >
Mathematica > Data Manipulation > Statistical Data Analysis > Probability & Statistics > Statistical Distribution Functions > Statistical Moments and Generating Functions > AugmentedSymmetricPolynomial >
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AugmentedSymmetricPolynomial

AugmentedSymmetricPolynomial
represents a formal augmented symmetric polynomial with exponents , , ....
AugmentedSymmetricPolynomial
represents a multivariate formal augmented symmetric polynomial with exponent vectors , , ....
AugmentedSymmetricPolynomial
gives the augmented symmetric polynomial in data.
MORE INFORMATION
  • In the multivariate case, and are vectors and is interpreted as .
EXAMPLESCLOSE ALL
Basic Examples   (1)
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Scope   (2)
Use MomentEvaluate to evaluate formal augmented symmetric polynomials on data:
TraditionalForm formatting:
Applications   (1)
Linearize polynomials in AugmentedSymmetricPolynomial:
Properties & Relations   (1)
AugmentedSymmetricPolynomial with a single exponent is equivalent to PowerSymmetricPolynomial:
This relationship also holds for the multivariate generalization:
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