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

Abstract: 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.

Keywords: hypergeometric systems of partial differential equations, holonomic rank, polynomial solutions, zonotopes, analytic complexity, differential polynomial, hypergeometry package.

UDC: 517.55; 517.9

Received: 10.06.2020
Received in revised form: 24.07.2020
Accepted: 20.09.2020

Language: English

DOI: 10.17516/1997-1397-2020-13-6-718-732

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