Theory of Hypergeometric Functions / Springer Monographs in Mathematics (PDF)
(Sprache: Englisch)
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...
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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.
Bibliographische Angaben
- Autoren: Kazuhiko Aomoto , Michitake Kita
- 2011, 2011, 320 Seiten, Englisch
- Übersetzer: Kenji Iohara
- Verlag: Springer-Verlag GmbH
- ISBN-10: 4431539387
- ISBN-13: 9784431539384
- Erscheinungsdatum: 21.05.2011
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
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- Dateiformat: PDF
- Größe: 3.56 MB
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Sprache:
Englisch
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