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

Voir la notice de l'article provenant de la source Math-Net.Ru

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 
@article{JSFU_2020_13_6_a5,
     author = {Vitaly A. Krasikov},
     title = {Upper bounds for the analytic complexity of {Puiseux} polynomial solutions to bivariate hypergeometric systems},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {718--732},
     publisher = {mathdoc},
     volume = {13},
     number = {6},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2020_13_6_a5/}
}
TY  - JOUR
AU  - Vitaly A. Krasikov
TI  - Upper bounds for the analytic complexity of Puiseux polynomial solutions to bivariate hypergeometric systems
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2020
SP  - 718
EP  - 732
VL  - 13
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2020_13_6_a5/
LA  - en
ID  - JSFU_2020_13_6_a5
ER  - 
%0 Journal Article
%A Vitaly A. Krasikov
%T Upper bounds for the analytic complexity of Puiseux polynomial solutions to bivariate hypergeometric systems
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2020
%P 718-732
%V 13
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2020_13_6_a5/
%G en
%F JSFU_2020_13_6_a5
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/