 Complete homogeneous symmetric polynomial

ID: complete-homogeneous-symmetric-polynomial

The complete homogeneous symmetric polynomial

h_{n}

is the sum of all monomials of total degree

n

H (t) = \sum_{n \geq 0} h_{n} t^{n} = exp (\sum_{k \geq 1} \frac{p _{k} t ^{k}}{k}) .

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

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