{"product_id":"9781447164630","title":"Universitext: An Algorithmic Approach to Summation and Special Function Identities","description":"\u003ch1\u003eUniversitext: An Algorithmic Approach to Summation and Special Function Identities\u003c\/h1\u003e \u003ch2\u003eKoepf, Wolfram\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eModern algorithmic techniques for summation, most of which were introduced in the 1990s, are developed here and carefully implemented in the computer algebra system Maple™.\u003c\/p\u003e\u003cp\u003eThe algorithms of Fasenmyer, Gosper, Zeilberger, Petkovšek and van Hoeij for hypergeometric summation and recurrence equations, efficient multivariate summation as well as \u003ci\u003eq\u003c\/i\u003e-analogues of the above algorithms are covered. Similar algorithms concerning differential equations are considered. An equivalent theory of hyperexponential integration due to Almkvist and Zeilberger completes the book.\u003c\/p\u003e\u003cp\u003eThe combination of these results gives orthogonal polynomials and (hypergeometric and \u003ci\u003eq\u003c\/i\u003e-hypergeometric) special functions a solid algorithmic foundation. Hence, many examples from this very active field are given.\u003c\/p\u003e\u003cp\u003eThe materials covered are suitable for an introductory course on algorithmic summation and will appeal to students and researchers alike.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2014-06-25\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9781447164630\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4471-6464-7\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 279\u003c\/p\u003e ","brand":"Springer London","offers":[{"title":"Default Title","offer_id":45987038331020,"sku":"9781447164630","price":80.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781447164630.jpg?v=1775729227","url":"https:\/\/lateknightbooks.com\/products\/9781447164630","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}