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Softcover - 9784431540878
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Beschreibung
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.
Details
| Verlag | Springer Tokyo |
| Ersterscheinung | 13. Mai 2011 |
| Maße | 23.5 cm x 15.5 cm |
| Gewicht | 670 Gramm |
| Format | Hardcover |
| ISBN-13 | 9784431539124 |
| Seiten | 320 |
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