Email this article Computational Problems of Multivariate Hypergeometric Theory
- Authors: Sadykov T.M.1,2
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Affiliations:
- Plekhanov Russian University
- Siberian Federal University
- Issue: Vol 44, No 2 (2018)
- Pages: 131-137
- Section: Article
- URL: https://journal-vniispk.ru/0361-7688/article/view/176598
- DOI: https://doi.org/10.1134/S0361768818020093
- ID: 176598
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Abstract
We consider computational problems of the theory of hypergeometric functions in several complex variables: computation of the holonomic rank of a hypergeometric system of partial differential equations, computing the defining polynomial of the singular hypersurface of such a system and finding its monomial solutions. The presented algorithms have been implemented in the computer algebra system MATHEMATICA.
About the authors
T. M. Sadykov
Plekhanov Russian University; Siberian Federal University
Author for correspondence.
Email: Sadykov.TM@rea.ru
Russian Federation, Moscow, 125993; Krasnoyarsk, 660041
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