The asymptotic zero distribution of orthogonal polynomials with varying recurrence coefficients
Journal of Approximation Theory
Some classical multiple orthogonal polynomials
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. V: quadrature and orthogonal polynomials
Some properties of multiple orthogonal polynomials associated with Macdonald functions
Journal of Computational and Applied Mathematics - Special issue on orthogonal polynomials, special functions and their applications
Journal of Computational and Applied Mathematics - Proceedings of the sixth international symposium on orthogonal polynomials, special functions and their applications
Spectral Properties of Banded Toeplitz Matrices
Spectral Properties of Banded Toeplitz Matrices
Varying weights for orthogonal polynomials with monotonically varying recurrence coefficients
Journal of Approximation Theory
An Equilibrium Problem for the Limiting Eigenvalue Distribution of Banded Toeplitz Matrices
SIAM Journal on Matrix Analysis and Applications
On the limit behavior of recurrence coefficients for multiple orthogonal polynomials
Journal of Approximation Theory
Journal of Approximation Theory
Journal of Approximation Theory
Full length article: Multiple Meixner-Pollaczek polynomials and the six-vertex model
Journal of Approximation Theory
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We study the asymptotic zero distribution of type II multiple orthogonal polynomials associated with two Macdonald functions (modified Bessel functions of the second kind). On the basis of the four-term recurrence relation, it is shown that, after proper scaling, the sequence of normalized zero counting measures converges weakly to the first component of a vector of two measures which satisfies a vector equilibrium problem with two external fields. We also give the explicit formula for the equilibrium vector in terms of solutions of an algebraic equation.