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Symmetric function

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{wiki}

The complete homogeneous symmetric polynomial $h_n$ is the sum of all monomials of total degree $n$. Its generating function is
$$
H(t)=\sum_{n\geq0}h_nt^n
=\exp\left(\sum_{k\geq1}\frac{p_kt^k}{k}\right).
$$


Complete homogeneous symmetric polynomial

Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 160 / 2 / d / ii / Solution

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The complete homogeneous symmetric polynomial is a fundamental concept in algebra, particularly in the theory of symmetric functions.


Complete homogeneous symmetric polynomial ( $h_{n}$ )

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Complete homogeneous symmetric polynomial (hn​)

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