The Riemann-Hilbert Problem for the Bi-Orthogonal Polynomials

Details The Riemann-Hilbert Problem for the Bi-Orthogonal Polynomials The Riemann-Hilbert Problem for the Bi-Orthogonal Polynomials

2002-07-20

arxiv.org/abs/nlin/0207036v2

J.Phys.A36:4629-4640,2003

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTeX, 15 pages. In compare to the original version, the derivation of the matrix wave function is simplified; some comments a

Scientific paper

10.1088/0305-4470/36/16/312

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.

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