2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/85058A value given by a simple mathematical expression is proposed which is close to the fine structure constant given by 1998 CODATA recommended values of the fundamental physical constants up to relative accuracy 10^{-7}. This expression relates closely with the value of the overshoot of the Gibbs phenomenon in Fourier analysis.LaTeX, 3 pages, 2 figuresGeneral Physicstext