The Riemann-Hilbert Problem for the Bi-Orthogonal Polynomials
classification
🌊 nlin.SI
hep-thmath.CA
keywords
bi-orthogonalpolynomialspolynomialproblemriemann-hilbertadmitsapproacharbitrary
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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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