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math.CA2016
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…
math.CA2015
A hypergeometric treatment to explain the nonlinear true behavior of redundant constraints on a straight elastic rod
Giovanni Mingari Scarpello, Daniele Ritelli
In theory and practice of elastic straight rods, the statically indeterminate reactions acted by perfect constraints are commonly believed not to depend on the flexural stiffness $…
math.CA2012
The hyperbola rectification from Maclaurin to Landen and the Lagrange-Legendre transformation for the elliptic integrals
Giovanni Mingari Scarpello, Daniele Ritelli, Aldo Scimone
This article describes the main mathematical researches performed, in England and in the Continent between 1742-1827, on the subject of hyperbola rectification, thereby adding some…