Identities For Generalized Harmonic Number I have been searching for identities involving generalized harmonic numbers
\begin{equation*}H_n^{(p)}=\sum_{k=1}^{n}\frac{1}{k^p}\end{equation*}
I found several identities in terms of $H_n^{(1)}$, but I am looking for some interesting identities for $H_n^{(2)}$. Does anyone know of any identities know of any nontrivial identities for $H_n^{(2)}$?  I found some listed on Wikipedia, but this list is not comprehensive. Thanks for your help. 


*

*integral identities

*summation identities

*recursive identities

*in terms of another function


I discovered a Generalized Harmonic Summation Identity some time ago.  

$$ \sum_{r=1}^{n} \dfrac{H_{r} ^{(m)}}{r^m} = \dfrac{1}{2} \left( [H_{n}^{(m)}]^2 + H_{n}^{(2m)} \right) \quad ; \quad m \geq 1 $$  

I have posted a proof here.
