{"product_id":"theory-of-hypergeometric-functions-kazuhiko-aomoto-9784431539124","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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Kazuhiko Aomoto,Michitake Kita\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 4431539123\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9784431539124\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 05\/13\/2011\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 320\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.20lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.40h x 6.40w x 0.80d","brand":"Kazuhiko Aomoto","offers":[{"title":"Hardcover","offer_id":48519830372607,"sku":"9784431539124","price":139.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_b6f4583d-b03a-4c3c-8c12-d63948c6aab2.jpg?v=1778739082","url":"https:\/\/www.whiterainbookhouse.com\/products\/theory-of-hypergeometric-functions-kazuhiko-aomoto-9784431539124","provider":"WR Book House","version":"1.0","type":"link"}