𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Asymptotic behaviour of Laguerre–Sobolev
✍ Herbert Dueñas; Francisco Marcellán 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 237 KB

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

Laguerre-Sobolev orthogonal polynomials
✍ Francisco Marcellán; Teresa E. Pérez; Miguel A. Piñar 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 871 KB
An asymptotic result for Laguerre-Sobole
✍ Francisco Marcellán; Henk G Meijer; Teresa E Pérez; Miguel A Piñar 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 266 KB

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

Asymptotic properties of Sobolev orthogo
✍ Andrei Martínez-Finkelshtein 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 983 KB

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