Orthogonal polynomial method and odd vertices in matrix mode(3)

We show how to use the method of orthogonal polynomials for integrating, in the planar approximation, the partition function of one-matrix models with a potential with even or odd vertices, or any combination of them.

ORTHOGONALPOLYNOMIALMETHODANDODDVERTICES3Figure1.Secondandfourthorderconnectedgraphs

We show how to use the method of orthogonal polynomials for integrating, in the planar approximation, the partition function of one-matrix models with a potential with even or odd vertices, or any combination of them.

4ORTHOGONALPOLYNOMIALMETHODANDODD

VERTICES

Figure2.Firstandsecondorderconnectedgraphs

withquarticvertex.