Orthogonal polynomials and special functions : computation and applications
Special functions and orthogonal polynomials in particular have been around for centuries. Can you imagine mathematics without trigonometric functions, the exponential function or polynomials? In the twentieth century the emphasis was on special functions satisfying linear differential equations, bu...
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| Kolejni autorzy: | , , , |
| Format: | Livre numérique |
| Język: | Anglais |
| Wydane: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Wydanie: | 1st ed. 2006. |
| Seria: | Lecture Notes in Mathematics
1883 |
| Hasła przedmiotowe: | |
| Dostęp online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Komentarz: |
Description d'après consultation du 15 avril 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Orthogonal polynomials and special functions, computation and applications, [fifth European summer school on orthogonal polynomials and special functions held at the Universidad Carlos III de Madrid, Leganés, Spain from July 8 to July 18, 2004], Berlin, Springer, 2006, 1 vol. (XIV-418 p.), Lecture notes in mathematics, 3-540-31062-2 • Orthogonal Polynomials and Special Functions, Texte imprimé, 9783540819349 • Orthogonal polynomials and special functions, computation and applications, [fifth European summer school on orthogonal polynomials and special functions held at the Universidad Carlos III de Madrid, Leganés, Spain from July 8 to July 18, 2004], Berlin, Springer, 2006, 1 vol. (XIV-418 p.), Lecture notes in mathematics, 3-540-31062-2 |
| Streszczenie: | Special functions and orthogonal polynomials in particular have been around for centuries. Can you imagine mathematics without trigonometric functions, the exponential function or polynomials? In the twentieth century the emphasis was on special functions satisfying linear differential equations, but this has now been extended to difference equations, partial differential equations and non-linear differential equations. The present set of lecture notes containes seven chapters about the current state of orthogonal polynomials and special functions and gives a view on open problems and future directions. The topics are: computational methods and software for quadrature and approximation, equilibrium problems in logarithmic potential theory, discrete orthogonal polynomials and convergence of Krylov subspace methods in numerical linear algebra, orthogonal rational functions and matrix orthogonal rational functions, orthogonal polynomials in several variables (Jack polynomials) and separation of variables, a classification of finite families of orthogonal polynomials in Askey's scheme using Leonard pairs, and non-linear special functions associated with the Painlevé equations. |
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| Deskrypcja: | Description d'après consultation du 15 avril 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliografia: | Notes bibliogr. Index |
| ISBN: | 9783540367161 |
| ISSN: | 1617-9692 |
| Ograniczenie dostępu: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |