MMN-1284
Closed form evaluation of Melham's reciprocal sums
Emrah Kilic; Helmut Prodinger;Abstract
Recently Melham <cite>Mel</cite> gives closed formulæ for certain finite reciprocal sums. In this paper, we present a different approach to compute these sums in closed form. Our approach is straight-forward and simple. First we convert the sums in q-notation, then use partial fraction decomposition and telescoping to derive closed formulæ.
Vol. 18 (2017), No. 1, pp. 251-264
DOI: 10.18514/MMN.2017.1284