作者:WILF, HS; ZEILBERGER, D
作者单位:Pennsylvania Commonwealth System of Higher Education (PCSHE); Temple University
摘要:It is shown that every 'proper-hypergeometric' multisum/integral identity, or q-identity, with a fixed number of summations and/or integration signs, possesses a short, computer-constructible proof. We give a fast algorithm for finding such proofs. Most of the identities that involve the classical special functions of mathematical physics are readily reducible to the kind of identities treated here. We give many examples of the method, including computer-generated proofs of identities of Mehta...