Some combinatorial series identities associated with the Digamma function and harmonic numbers

Integrals of logarithmic and hypergeometric functions

“…Some results for sums of alternating harmonic numbers may be seen in the works [1], [2], [5], [6], [7], [9], [10], [12], [15], [16], [17], [20], [21], [19], [22], [23], [27], [28], [29] and [30] and references therein.…”

Polylogarithmic Connections With Euler Sums

“…Some results for sums of alternating harmonic numbers may be seen in the works of [2], [4], [5], [6], [7], [8], [10], [11], [13], [14], [15], [17], [18], [22], [23], [24] and [25] and references therein.…”

Quadratic alternating harmonic number sums

“…Some results for sums of alternating harmonic numbers may be seen in the works of [1,3,4,6,10,13-15,17,18,23,24,26] and references therein. Some explicit, and closely related results may also be seen in the well presented papers [7,11,25].…”