Geodesic
Upper bounds for the analytic complexity of Puiseux polynomial solutions to bivariate hypergeometric systems
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 13 (2020) no. 6, pp. 718-732.

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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, analytic complexity, differential polynomial, hypergeometry package.
Mots-clés : polynomial solutions, zonotopes 
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Vitaly A. Krasikov. Upper bounds for the analytic complexity of Puiseux polynomial solutions to bivariate hypergeometric systems. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 13 (2020) no. 6, pp. 718-732. http://geodesic.mathdoc.fr/item/JSFU_2020_13_6_a5/

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