I was having dinner with a visiting colleague this week when talk turned to what we were teaching this term. He mentioned the part of calculus dealing with infinite series (the bane of many students) ...

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 ...

Summary The paper is about the calculation of the nonlinear harmonic series \documentclass{article} \pagestyle{empty}\begin{document} $\sum{\infty}{n = 1}H_n/n \cdot H_{n + k}/(n + k)$ \end{document} ...

Motivated by a proof without words for the sum of the alternating harmonic series, this article delves into some interesting questions regarding a series to which the usual convergence tests do not ...