3 papers
cond-mat.stat-mech2025
Statistical density of particles in one dimensional interaction and Jellium Model
Mohamed Bouali
We study a one-dimensional gas of charged particles confined by a potential and interacting through the Riesz potential or a more general potential. In equilibrium, and for sym…
math.GM2024
Convexity and concavity of a class of functions related to the elliptic functions
Mohamed Bouali
We investigate the convexity property on of the function We show that is strictly convex on if and on…
math.GM2024
A mean value inequalities for the polygamma and zeta functions
Mohamed Bouali
A recently published result states inequalities of the harmonic mean of the digamma function. In this work, we prove among others results that for all positive real numbers $x\neq…