{"product_id":"9784431540878","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.","brand":"Springer Japan","offers":[{"title":"Default Title","offer_id":47041675198704,"sku":"9784431540878","price":149.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9784431540878_p0.jpg?v=1763713320","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9784431540878","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}