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Hypergeometric Orthogonal Polynomials and Their q-Analogues

The very classical orthogonal polynomials named after Hermite, Laguerre and Jacobi, satisfy many common properties. For instance, they satisfy a second-order differential equation with polynomial coefficients and they can be expressed in terms of a hypergeometric function. Replacing the differential...

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Détails bibliographiques
Cote:Libro Electrónico
Auteurs principaux: Koekoek, Roelof (Auteur), Lesky, Peter A. (Auteur), Swarttouw, René F. (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2010.
Édition:1st ed. 2010.
Collection:Springer Monographs in Mathematics,
Sujets:
Accès en ligne:Texto Completo
Table des matières:
  • Definitions and Miscellaneous Formulas
  • Classical orthogonal polynomials
  • Orthogonal Polynomial Solutions of Differential Equations
  • Orthogonal Polynomial Solutions of Real Difference Equations
  • Orthogonal Polynomial Solutions of Complex Difference Equations
  • Orthogonal Polynomial Solutions in x(x+u) of Real Difference Equations
  • Orthogonal Polynomial Solutions in z(z+u) of Complex Difference Equations
  • Hypergeometric Orthogonal Polynomials
  • Polynomial Solutions of Eigenvalue Problems
  • Classical q-orthogonal polynomials
  • Orthogonal Polynomial Solutions of q-Difference Equations
  • Orthogonal Polynomial Solutions in q?x of q-Difference Equations
  • Orthogonal Polynomial Solutions in q?x+uqx of Real.