Name
Abstract | ||
|---|---|---|
We shall consider nested spaces Ln, n = 0,1,2,... of rational functions with n prescribed poles outside the unit disk of the complex plane. We study orthogonal basis functions of these spaces for a general positive measure on the unit circle. In the special case where all poles are placed at infinity, Ln = n, the polynomials of degree at most n. Thus the present paper is a study of orthogonal rational functions, which generalize the orthogonal Szeg˝o polynomi- als. In this paper we shall concentrate on the functions of the second kind which are natural generalizations of the corresponding polynomials. |
Year | DOI | Venue |
|---|---|---|
1992 | 10.1007/BF02142207 | Numerical Algorithms |
Keywords | Field | DocType |
Primary,42C05,Secondary,30D50,41A20,41A55,Rational interpolation,orthogonal functions,Szegö theory,Pick-Nevanlinna interpolation | Elliptic rational functions,Orthogonal functions,Orthogonal polynomials,Classical orthogonal polynomials,Mathematical analysis,Orthogonal basis,Discrete orthogonal polynomials,Mehler–Heine formula,Rational function,Mathematics | Journal |
Volume | Issue | Citations |
2 | 1 | 6 |
PageRank | References | Authors |
0.82 | 4 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Adhemar Bultheel | 1 | 217 | 34.80 |
| Pablo GonzáLez-Vera | 2 | 100 | 17.26 |
| Erik Hendriksen | 3 | 11 | 2.06 |
| olav njastad | 4 | 6 | 1.16 |