Theory of hypergeometric functions
This book presents a geometric theory of complex analytic integrals representing hypergeometric functions of several variables. Starting from an integrand which is a product of powers of polynomials, integrals are explained, in an open affine space, as a pair of twisted de Rham cohomology and its du...
Enregistré dans:
| Auteurs principaux: | , |
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| Autres auteurs: | , |
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Tokyo :
Springer Japan
[20..].
Cham : Springer Nature |
| Édition: | 1st ed. 2011. |
| Collection: | Springer Monographs in Mathematics
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| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Description d'après consultation du 25 avril 2013 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Theory of hypergeometric functions, Kazuhiko Aomoto, Michitake Kita, 2011, Tokyo, Springer, 1 vol. (XVI- 317 p.), Springer monographs in mathematics, 978-4-431-53912-4 • Theory of Hypergeometric Functions, Texte imprimé, 9784431540878 • Theory of hypergeometric functions, Kazuhiko Aomoto, Michitake Kita, 2011, Tokyo, Springer, 1 vol. (XVI- 317 p.), Springer monographs in mathematics, 978-4-431-53912-4 • Theory of Hypergeometric Functions, Texte imprimé, 9784431539391 |
| Résumé: | This book presents a geometric theory of complex analytic integrals representing hypergeometric functions of several variables. Starting from an integrand which is a product of powers of polynomials, integrals are explained, in an open affine space, as a pair of twisted de Rham cohomology and its dual over the coefficients of local system. It is shown that hypergeometric integrals generally satisfy a holonomic system of linear differential equations with respect to the coefficients of polynomials and also satisfy a holonomic system of linear difference equations with respect to the exponents. These are deduced from Grothendieck-Deligne s rational de Rham cohomology on the one hand, and by multidimensional extension of Birkhoff s classical theory on analytic difference equations on the other. |
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| Description: | Description d'après consultation du 25 avril 2013 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliographie: | Bibliogr. Index |
| ISBN: | 9784431539384 |
| ISSN: | 2196-9922 |
| Accès: | 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 |