The Riemann-Hilbert Problem for the Bi-Orthogonal Polynomials
Exactly Solvable and Integrable Systems
2008-11-26 v2 High Energy Physics - Theory
Classical Analysis and ODEs
Abstract
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.
Keywords
Cite
@article{arxiv.nlin/0207036,
title = {The Riemann-Hilbert Problem for the Bi-Orthogonal Polynomials},
author = {Andrei A. Kapaev},
journal= {arXiv preprint arXiv:nlin/0207036},
year = {2008}
}
Comments
LaTeX, 15 pages. In compare to the original version, the derivation of the matrix wave function is simplified; some comments and references are added