ISSN:
1432-1297
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary It is shown that every ‘proper-hypergeometric’ multisum/integral identity, orq-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-Dyson, Selberg, Hille-Hardy,q-Saalschütz, and others. The prospect of using the method for proving multivariate identities that involve an arbitrary number of summations/integrations is discussed.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02100618
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