A Riemann-Hilbert problem for biorthogonal polynomials
Kuijlaars, A. B. J. ; McLaughlin, K. T-R
arXiv, 0310204 / Harvested from arXiv
We characterize the biorthogonal polynomials that appear in the theory of coupled random matrices via a Riemann-Hilbert problem. Our Riemann-Hilbert problem is different from the ones that were proposed recently by Ercolani and McLaughlin, Kapaev, and Bertola et al. We believe that our formulation may be tractable to asymptotic analysis.
Publié le : 2003-10-14
Classification:  Mathematics - Complex Variables,  Mathematical Physics
@article{0310204,
     author = {Kuijlaars, A. B. J. and McLaughlin, K. T-R},
     title = {A Riemann-Hilbert problem for biorthogonal polynomials},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0310204}
}
Kuijlaars, A. B. J.; McLaughlin, K. T-R. A Riemann-Hilbert problem for biorthogonal polynomials. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0310204/