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
Asymptotic properties of Laguerre–Sobolev type orthogonal polynomials
✍ Scribed by Herbert Dueñas; Edmundo J. Huertas; Francisco Marcellán
- Book ID
- 113077345
- Publisher
- Springer US
- Year
- 2011
- Tongue
- English
- Weight
- 409 KB
- Volume
- 60
- Category
- Article
- ISSN
- 1017-1398
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📜 SIMILAR VOLUMES
Let {S,} denote the sequence of polynomials orthogonal with respect to the Sobolev inner product fo +°° f+°c :,. x . ,.x--%-X dx (f.g)s = f(x)o(x)x%-Xdx + 2 J ~ )9( )x . ## JO where ~ > -1, 2 > 0 and the leading coefficient of the S~ is equal to the leading coefficient of the Laguerre polynomial
In this report we will survey some of the main ideas and tools which appeared recently in the study of the analytic properties of polynomials orthogonal with respect to inner products involving derivatives. Although some results on weak asymptotics are mentioned, the strong outer asymptotics constit