Hypergeometric functions with rational arguments
نویسندگان
چکیده
منابع مشابه
Rational Hypergeometric Functions
Multivariate hypergeometric functions associated with toric varieties were introduced by Gel’fand, Kapranov and Zelevinsky. Singularities of such functions are discriminants, that is, divisors projectively dual to torus orbit closures. We show that most of these potential denominators never appear in rational hypergeometric functions. We conjecture that the denominator of any rational hypergeom...
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We survey several results on A-hypergeometric systems of linear partial differential equations introduced by Gelfand, Kapranov and Zelevinsky in the case of integer (and thus resonant) parameters, in particular, those differential systems related to sparse systems of polynomial equations. We also study in particular the case of A-hypergeometric systems for which kerA has rank 1. This allows us ...
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ژورنال
عنوان ژورنال: Nuclear Physics B - Proceedings Supplements
سال: 2008
ISSN: 0920-5632
DOI: 10.1016/j.nuclphysbps.2008.09.110