Szegö 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
A VARIANT OF THE METHOD OF ORTHOGONAL POLYNOMIALS
✍ Scribed by R.O. Grossi; C.M. Albarracı́n
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 124 KB
- Volume
- 212
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
This paper deals with Hermite Pade polynomials in the case where the multiple orthogonality condition is related to semiclassical functionals. The polynomials, introduced in such a way, are a generalization of classical orthogonal polynomials (Jacobi, Laguerre, Hermite, and Bessel polynomials). They
It is well-known that the denominators of Pade approximants can be considered as orthogonal polynomials with respect to a linear functional. This is usually shown by defining Pade -type approximants from so-called generating polynomials and then improving the order of approximation by imposing ortho
We show that if orthonormal polynomials \(p_{n}\) have asymptotically periodic recurrence coefficients, then they have uniform subexponential growth on the support of orthogonalizing measure. This is an alternative proof of results of P. Nevai, V. Totik, and J. Zhang (J. Approx. Theory 67, 1991, 215