The Riemann-Hilbert Problem for the Bi-Orthogonal Polynomials

Preprint

20 July 2002

preprint
Published by arXiv in arXiv

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

POLYNOMIALS WITH ARBITRARY
RIEMANN HILBERT PROBLEM
ORTHOGONAL POLYNOMIALS
POLYNOMIAL POTENTIALS
DEGREE POLYNOMIAL
BI ORTHOGONAL

All Related Versions

Version 1, 2002-07-20, ArXiv
Version 2, 2002-08-07, ArXiv
Published version: Journal of Physics A: General Physics, 36 (16), 4629.

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