2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/184615For one-matrix models with polynomial potentials, the explicit relationship between the partition function and the isomonodromic tau function for the 2x2 polynomial differential systems satisfied by the associated orthogonal polynomials is derived.17 pages, one figure, uses subeqnarray.sty, added references, typos removed Version acceptedExactly Solvable and Integrable SystemsHigh Energy Physics - TheoryMathematical PhysicsPartition functions for Matrix Models and Isomonodromic Tau functionstext