2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/110403Special polynomials associated with rational solutions of the second Painlevé equation and other members of its hierarchy are discussed. New approach, which allows one to construct each polynomial is presented. The structure of the polynomials is established. Formulas of their coefficients are found. Correlations between the roots of every polynomial are obtained.21 pagesExactly Solvable and Integrable Systemstext