The Riemann-Hilbert Problem for the Bi-Orthogonal Polynomials
Abstract
Description
For 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 added
LaTeX, 15 pages. In compare to the original version, the derivation of the matrix wave function is simplified; some comments and references are added