602 citations
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math.CA2005★ 1 cited
Strong asymptotics of Laguerre-type orthogonal polynomials and applications in random matrix theory
M. Vanlessen
We consider polynomials orthogonal on with respect to Laguerre-type weights , where and where denotes a polynomial with positive leading…
math.CA2003★ 1 cited
Strong asymptotics for Jacobi polynomials with varying nonstandard parameters
A. B. J. Kuijlaars, A. Martinez-Finkelshtein
Strong asymptotics on the whole complex plane of a sequence of monic Jacobi polynomials is studied, assuming that $$ \lim_{n\to\infty} \frac{α_n}{n}=A, \qquad \l…
math.CA2002
Strong asymptotics of the recurrence coefficients of orthogonal polynomials associated to the generalized Jacobi weight
M. Vanlessen
We study asymptotics of the recurrence coefficients of orthogonal polynomials associated to the generalized Jacobi weight, which is a weight function with a finite number of algebr…