D. Ritelli

activity

20112022

most citedOn computing some special values of hypergeometric functions

8 citations · 22 across the 12 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.PR2017★ 7 cited

Evaluation of Harmonic Sums with Integrals

Vivek Kaushik, Daniele Ritelli

We consider the sums $S (k) = \sum_{n = 0}^{\infty} \frac{( - 1 ) ^{nk}}{( 2 n + 1 ) ^{k}}$ and $ζ (2 k) = \sum_{n = 1}^{\infty} \frac{1}{n ^{2 k}}$ with $k$ being a positive integer. We evaluate these sums…

math.CA2017★ 7 cited

Motions about a fixed point by hypergeometric functions: new non-complex analytical solutions and integration of the herpolhode

Giovanni Mingari Scarpello, Daniele Ritelli

We study four problems in the dynamics of a body moving about a fixed point, providing a non-complex, analytical solution for all of them. For the first two, we will work on the mo…