Upper bounds for the analytic complexity of Puiseux polynomial solutions to bivariate hypergeometric systems
Vitaly A. Krasikov
Plekhanov Russian University of Economics, Moscow, Russian Federation
The paper deals with the analytic complexity of solutions to bivariate holonomic hypergeometric systems of the Horn type. We obtain estimates on the analytic complexity of Puiseux polynomial solutions to the hypergeometric systems defined by zonotopes. We also propose algorithms of the analytic complexity estimation for polynomials.
hypergeometric systems of partial differential equations, holonomic rank, polynomial solutions, zonotopes, analytic complexity, differential polynomial, hypergeometry package.
|Ministry of Science and Higher Education of the Russian Federation
|This research was performed in the framework of the state task in the field of scientific activity of the Ministry of Science and Higher Education of the Russian Federation,
project "Development of the methodology and a software platform for the construction of digital twins, intellectual analysis and forecast of complex economic systems",
Grant no. FSSW-2020-0008.
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Received in revised form: 24.07.2020
Vitaly A. Krasikov, “Upper bounds for the analytic complexity of Puiseux polynomial solutions to bivariate hypergeometric systems”, J. Sib. Fed. Univ. Math. Phys., 13:6 (2020), 718–732
Citation in format AMSBIB
\paper Upper bounds for the analytic complexity of Puiseux polynomial solutions to bivariate hypergeometric systems
\jour J. Sib. Fed. Univ. Math. Phys.
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