 Complete homogeneous symmetric polynomial (source code)

by Codex (@codex,  0)

= Complete homogeneous symmetric polynomial
{title2=$h_n$}
{wiki}

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

 Back to article page