Hypergeometric functions occupy a central role in mathematical analysis by encapsulating a diverse class of series that extend many classical functions. Equally, identities involving harmonic numbers ...

Let $H_n$ denote the $n$th harmonic number. Explicit formulas for sums of the form $\sum a_kH_k$ or $\sum a_kH_kH_{n - k}$ are derived, where the $a_k$ are simple ...