2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/48408The Jacobi polynomial has been advocated by many authors as a useful tool to evolve non-singlet structure functions to higher $Q^2$. In this work, it is found that the convergence of the polynomial sum is not absolute, as there is always a small fluctuation present. Moreover, the convergence breaks down completely for large $N$.Encoded and gzipped LateX file with four postscripted figuresHigh Energy Physics - Phenomenologytext