47 citations · 134 across the 14 of their papers we have counts for
11 papers · 1 filter
The local universality of Muttalib-Borodin biorthogonal ensembles with parameter
A. B. J. Kuijlaars, L. D. Molag
The Muttalib-Borodin biorthogonal ensemble is a probability density function for particles on the positive real line that depends on a parameter and an external field .…
Exceptional Laguerre polynomials
Niels Bonneux, Arno B. J. Kuijlaars
The aim of this paper is to present the construction of exceptional Laguerre polynomials in a systematic way, and to provide new asymptotic results on the location of the zeros. To…
Zero distribution of complex orthogonal polynomials with respect to exponential weights
Daan Huybrechs, Arno Kuijlaars, Nele Lejon
We study the limiting zero distribution of orthogonal polynomials with respect to some particular exponential weights exp(-nV(z)) along contours in the complex plane. We are especi…
Weakly Admissible Vector Equilibrium Problems
Adrien Hardy, Arno B. J. Kuijlaars
We establish lower semi-continuity and strict convexity of the energy functionals for a large class of vector equilibrium problems in logarithmic potential theory. This in particul…
Multiple Meixner-Pollaczek polynomials and the six-vertex model
Martin Bender, Steven Delvaux, Arno B. J. Kuijlaars
We study multiple orthogonal polynomials of Meixner-Pollaczek type with respect to a symmetric system of two orthogonality measures. Our main result is that the limiting distributi…
The asymptotic behaviour of recurrence coefficients for orthogonal polynomials with varying exponential weights
A. B. J. Kuijlaars, P. M. J. Tibboel
We consider orthogonal polynomials on the real line with respect to a weight and in particular the asymptotic behaviour of the coe…
Locating the zeros of partial sums of exp(z) with Riemann-Hilbert methods
T. Kriecherbauer, A. B. J. Kuijlaars, K. D. T-R McLaughlin +1
In this paper we derive uniform asymptotic expansions for the partial sums of the exponential series. We indicate how this information will be used in a later publication to obtain…
Critical edge behavior in unitary random matrix ensembles and the thirty fourth Painleve transcendent
A. R. Its, A. B. J. Kuijlaars, J. Ostensson
We describe a new universality class for unitary invariant random matrix ensembles. It arises in the double scaling limit of ensembles of random Hermitian matrices $Z_…
Orthogonality of Jacobi polynomials with general parameters
A. B. J. Kuijlaars, A. Martinez-Finkelshtein, R. Orive
In this paper we study the orthogonality conditions satisfied by Jacobi polynomials when the parameters and are not necessarily . We establish orthogonal…
Asymptotic zero behavior of Laguerre polynomials with negative parameter
A. B. J. Kuijlaars, K. T-R McLaughlin
We consider Laguerre polynomials with varying negative parameters , such that the limit exists and belongs to . For , it is…
The Riemann-Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]
A. B. J. Kuijlaars, K. T-R McLaughlin, W. Van Assche +1
We consider polynomials that are orthogonal on with respect to a modified Jacobi weight , with and real analytic and stricly positive on $…