A Mehler–Heine-type formula for Hermite–Sobolev orthogonal polynomials

Author:

Castaño-Garcı́a Laura,Moreno-Balcázar Juan J.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference7 articles.

1. Pocketbook of Mathematical Functions;Abramowitz,1984

2. Asymptotics of Sobolev orthogonal polynomial for Hermite coherent pairs;Alfaro;J. Comp. Appl. Math.,2001

3. On polynomials orthogonal with respect to certain Sobolev inner products;Iserles;J. Approx. Theory,1991

4. Polynomial least square approximations;Lewis;Amer. J. Math.,1947

5. Strong and Plancherel–Rotach asymptotics of non-diagonal Laguerre–Sobolev orthogonal polynomials;Marcellán;J. Approx. Theory,2001

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1. Asymptotics of Sobolev orthogonal polynomials for Hermite (1,1)-coherent pairs;Journal of Mathematical Analysis and Applications;2018-11

2. Mehler–Heine type formulas for Charlier and Meixner polynomials;The Ramanujan Journal;2015-02-18

3. ASYMPTOTICS AND ZEROS OF SYMMETRICALLY COHERENT PAIRS OF HERMITE TYPE;Difference Equations, Special Functions and Orthogonal Polynomials;2007-05

4. Asymptotics and Zeros of Sobolev Orthogonal Polynomials on Unbounded Supports;Acta Applicandae Mathematicae;2006-10-05

5. Smallest zeros of some types of orthogonal polynomials: asymptotics;Journal of Computational and Applied Mathematics;2005-07

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