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Varying discrete Laguerre–Sobolev orthogonal polynomials: Asymptotic behavior and zeros

✍ Scribed by Mañas-Mañas, Juan F.; Marcellán, Francisco; Moreno-Balcázar, Juan J.


Book ID
123484161
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
291 KB
Volume
222
Category
Article
ISSN
0096-3003

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We obtain the (contracted) weak zero asymptotics for orthogonal polynomials with respect to Sobolev inner products with exponential weights in the real semiaxis, of the form x γ e -ϕ(x) , with γ > 0, which include as particular cases the counterparts of the so-called Freud (i.e., when ϕ has a polyn