  This paper presents formulae for the sum of the terms of a harmonic
progression of order $k$ with integer parameters, $HP_k(n)$, and for the
partial sums of its two associated Fourier series, $C^m_{k}(a,b,n)$ and
$S^m_{k}(a,b,n)$. These new formulae are a generalization of the formulae
created in a previous paper and were achieved using a slightly modified version
of the reasoning employed before.
