Complete homogeneous symmetric functions are defined in power sum basis via generating function
(1)
For these polynomials are given as
Sym = SymmetricFunctions(QQ)
h = Sym.h()
p = Sym.p()
arr = [[i, p(h[i])]
for i in range(1,5)];
table(arr, frame=True)
(2)
They, as all symmetric functions, possess generalization
(3)
where is a Young diagram.