On polynomials orthogonal with respect to certain Sobolev inner products
Journal of Approximation Theory
Determination of all coherent pairs
Journal of Approximation Theory
Strong and Plancherel—Rotach asymptotics of non-diagonal Laguerre—Sobolev orthogonal polynomials
Journal of Approximation Theory
Asymptotics of Sobolev orthogonal polynomials for Hermite coherent pairs
Journal of Computational and Applied Mathematics - Special issue on orthogonal polynomials, special functions and their applications
Companion orthogonal polynomials: some applications
Applied Numerical Mathematics
A Mehler-Heine-type formula for Hermite-Sobolev orthogonal polynomials
Journal of Computational and Applied Mathematics
Zeros of Sobolev orthogonal polynomials of Hermite type
Applied Mathematics and Computation
Journal of Computational and Applied Mathematics - Proceedings of the sixth international symposium on orthogonal polynomials, special functions and their applications
Laguerre-Sobolev orthogonal polynomials: asymptotics for coherent pairs of type II
Journal of Approximation Theory
Companion orthogonal polynomials
Journal of Computational and Applied Mathematics
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We establish Mehler-Heine-type formulas for orthogonal polynomials related to rational modifications of Hermite weight on the real line and for Hermite-Sobolev orthogonal polynomials. These formulas give us the asymptotic behaviour of the smallest zeros of the corresponding orthogonal polynomials. Furthermore, we solve a conjecture posed in a previous paper about the asymptotics of the smallest zeros of the Hermite-Sobolev polynomials as well as an open problem concerning the asymptotics of these Sobolev orthogonal polynomials.