A shortcut to asymptotics for orthogonal polynomials
β Scribed by Thomas Dehn
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 872 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper some new characterizations of ratio asymptotics for orthogonal polynomials are given.
We investigate orthogonal polynomials for a Sobolev type inner product \(\langle f, g\rangle=(f, g)+\lambda f^{\prime}(c) g^{\prime}(c)\), where \((f, g)\) is an ordinary inner product in \(L_{2}(\mu)\) with \(\mu\) a positive measure on the real line. We compare the Sobolev orthogonal polynomials w
SzegΓΆ polynomials are associated with weight functions on the unit circle. M. G. Krein introduced a continuous analogue of these, a family of entire functions of exponential type associated with a weight function on the real line. An investigation of the asymptotics of the resolvent kernel of \(\sin