Orthogonal Polynomials and Linear Functionals
An Algebraic Approach and Applications
Juan Carlos García-Ardila
Universidad Politécnica de Madrid, SpainFrancisco Marcellán
Universidad Carlos III de Madrid, SpainMisael E. Marriaga
Universidad Rey Juan Carlos, Madrid, Spain

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| FrontmatterDownload pp. i–iv | |
| PrefaceDownload p. v | |
| ContentsDownload pp. vii–viii | |
| 1 | IntroductionDownload pp. 1–2 |
| 2 | Moment functionals on and orthogonal polynomialspp. 3–25 |
| 3 | Continued fractionspp. 27–29 |
| 4 | Zeros of orthogonal polynomialspp. 31–36 |
| 5 | Gauss quadrature rulespp. 37–41 |
| 6 | Symmetric functionalspp. 43–47 |
| 7 | Transformations of moment functionalspp. 49–62 |
| 8 | Classical orthogonal polynomialspp. 63–67 |
| 9 | Classical functionalspp. 69–84 |
| 10 | Electrostatic interpretation for the zeros of classical orthogonal polynomialspp. 85–90 |
| 11 | Semiclassical functionalspp. 91–103 |
| 12 | Examples of semiclassical orthogonal polynomialspp. 105–108 |
| 13 | The Askey schemepp. 109–114 |
| Referencespp. 115–118 | |
| Indexpp. 119–120 |