{"product_id":"theory-of-hypergeometric-functions-von-kazuhiko-aomoto-michitake-kita","title":"Theory of Hypergeometric Functions","description":"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.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9784431539124\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9784431540878\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Hardcover - 9784431539124","offer_id":39322694221917,"sku":"9784431539124","price":139.09,"currency_code":"EUR","in_stock":true},{"title":"Softcover - 9784431540878","offer_id":39445998403677,"sku":"9784431540878","price":96.29,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/6c967859-ed0a-45a0-8f80-d1c0eb91645a.jpg?v=1772176216","url":"https:\/\/shop.autorenwelt.de\/products\/theory-of-hypergeometric-functions-von-kazuhiko-aomoto-michitake-kita","provider":"Autorenwelt Shop","version":"1.0","type":"link"}