Orthogonal Polynomials and Linear Functionals

An Algebraic Approach and Applications

  • Juan Carlos García-Ardila

    Universidad Politécnica de Madrid, Spain
  • Francisco Marcellán

    Universidad Carlos III de Madrid, Spain
  • Misael E. Marriaga

    Universidad Rey Juan Carlos, Madrid, Spain
Orthogonal Polynomials and Linear Functionals cover

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