19 citations · 33 across the 24 of their papers we have counts for
24 papers
Isoperimetric Problems on cyclic polygons
Abd Raouf Chouikha
In this paper we are interested in isoperimetric inequalities for plane n-gons inscribed in a circle. More specifically, we will examine a conjecture provided by Paul Levy that we…
Paul levy's Isoperimetric Problems on cyclic polygons
Abd Raouf Chouikha
In this paper we are interested in isoperimetric inequalities for plane n-gons in relation with a old conjecture proposed by P. Levy.
Archimede, Theon de Smyrne et
Abd Raouf Chouikha
We know that the algorithm of Theon of Smyrna (70-135 AD) made it possible to highlight fine frames of by rationals. However, this same algorithm also applies to …
Elliptic functions, infinite products and modular relations
Abd Raouf Chouikha
Infinite products expansions of the Weierstrass elliptic function \ \ and -order transformations allow us to provide some modular relations.
Sharp inequalities on circular and hyperbolic functions using a Bernoulli inequality type
Abd Raouf Chouikha
In this paper, new sharp bounds for circular functions are proved. We provide some improvements of previous results by using infinite products, power series expansions and a genera…
On the Isochronous analytic motions and the quantum spectrum
A. Raouf Chouikha
The problem of the characterization of all analytic potentials which give rise to isochronous oscillatory motions still open. However, there are several approaches to highlight mot…