8 citations · 22 across the 12 of their papers we have counts for
13 papers
Nonlinear oscillators via Čebyšëv quintic approximations
Martina Boschi, Daniele Ritelli, Giulia Spaletta
Aim of this work is the study of differential equations governing non--dissipative non--linear oscillators; these arise in different physical models such as the treatment of relati…
Identities for Catalan's constant arising from integrals depending on a parameter
Federica Ferretti, Alessandro Gambini, Daniele Ritelli
In this paper we provide some relationships between Catalan's constant and the and hypergeometric functions, deriving them from some parametric integral…
Evaluation of Harmonic Sums with Integrals
Vivek Kaushik, Daniele Ritelli
We consider the sums and with being a positive integer. We evaluate these sums…
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…
Hypergeometric solutions to a three dimensional dissipative oscillator driven by aperiodic forces
Alessio Bocci, Giovanni Mingari Scarpello, Daniele Ritelli
We model the dynamical behavior of a three dimensional (3-D) dissipative oscillator consisting of a -block whose vertical fall occurs against a spring and which can also slide h…
Unsteady rotating laminar flow: analytical solution of Navier-Stokes equations
Alessio Bocci, Giovanni Mingari Scarpello, Daniele Ritelli
We provide a integration of Navier-Stokes equations concerning the unsteady-state laminar flow of an incompressible, isothermal (newtonian) fluid in a cylindrical vessel spinning a…