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} ...

Let Hn be the nth harmonic number, and let γ be the Euler-Mascheroni constant. We prove that for all integers n ≥ 1, the double-inequality $\alpha - In\left( {{e^{2\sqrt 2 /\left( {4n + 2 + \sqrt 2 } ...

When Rajula Srivastava was first notified about a prestigious prize, she was quick to dismiss it. All she got was a cryptic email from the personal email address of mathematician Terence Tao asking if ...