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Asymptotic behaviour of Laguerre–Sobolev-type orthogonal polynomials. A nondiagonal case

✍ Scribed by Herbert Dueñas; Francisco Marcellán

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
237 KB
Volume
235
Category
Article
ISSN
0377-0427

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✦ Synopsis

In this paper we study the asymptotic behaviour of polynomials orthogonal with respect to a Sobolev-type inner product

where p and q are polynomials with real coefficients,

and A is a positive semidefinite matrix.

We will focus our attention on their outer relative asymptotics with respect to the standard Laguerre polynomials as well as on an analog of the Mehler-Heine formula for the rescaled polynomials.

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