Zobrazeno 1 - 10
of 147
pro vyhledávání: '"RITELLI, DANIELE"'
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 relativistic oscillators, up to generalizations to Duffing's relativistic os
Externí odkaz:
http://arxiv.org/abs/2211.01035
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 May 2024 533(1)
In this paper we provide some relationships between Catalan's constant and the $_3{\rm F}_2$ and $_4{\rm F}_3$ hypergeometric functions, deriving them from some parametric integrals. In particular, using the complete elliptic integral of the first ki
Externí odkaz:
http://arxiv.org/abs/2005.04672
Publikováno v:
In Fuzzy Sets and Systems 30 August 2023 466
Autor:
Kaushik, Vivek, Ritelli, Daniele
Publikováno v:
Quart. Appl. Math. 76 (2018) 577-600
We consider the sums $S(k)=\sum_{n=0}^{\infty}\frac{(-1)^{nk}}{(2n+1)^k}$ and $\zeta(2k)=\sum_{n=1}^{\infty}\frac{1}{n^{2k}}$ with $k$ being a positive integer. We evaluate these sums with multiple integration, a modern technique. First, we start wit
Externí odkaz:
http://arxiv.org/abs/1710.03637
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 motion first integrals. For the symmetrical heavy body, that is the Lagr
Externí odkaz:
http://arxiv.org/abs/1705.01160
We model the dynamical behavior of a three dimensional (3-D) dissipative oscillator consisting of a $m$-block whose vertical fall occurs against a spring and which can also slide horizontally on a rigid truss rotating at a known angular speed law $\o
Externí odkaz:
http://arxiv.org/abs/1612.04253
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 about its symmetry axis, say $z$, and inside which the liquid velocity
Externí odkaz:
http://arxiv.org/abs/1609.05392
In this article we developed a special topic of our pure-mathematics papers concerning the hypergeometric theory. Based upon a Roberts's reduction approach of hyperelliptic integrals to elliptic ones and on the simultaneous multivariable hypergeometr
Externí odkaz:
http://arxiv.org/abs/1507.06681