{"product_id":"9784431539124","title":"Springer Monographs in Mathematics","description":"\u003ch1\u003eSpringer Monographs in Mathematics\u003c\/h1\u003e \u003ch2\u003eAomoto, Kazuhiko; Kita, Michitake; Kohno, Toshitake; Iohara, Kenji\u003c\/h2\u003e \u003cp\u003eThis 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.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2011-05-13\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9784431539124\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-4-431-53938-4\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 320\u003c\/p\u003e ","brand":"Springer Japan","offers":[{"title":"Default Title","offer_id":44521594552460,"sku":"9784431539124","price":125.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9784431539124.jpg?v=1775705971","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9784431539124","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}