2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/184616For the bi-orthogonal polynomials with the third degree polynomial potential functions, the 3 x 3 matrix Riemann-Hilbert problem is explicitly constructed. The developed approach admits an extension to the bi-orthogonal polynomials with arbitrary polynomial potentials.LaTeX, 15 pages. In compare to the original version, the derivation of the matrix wave function is simplified; some comments and references are addedExactly Solvable and Integrable SystemsHigh Energy Physics - TheoryClassical Analysis and ODEstext