Geodesic
Hypergeometric Systems with Polynomial Bases
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 1 (2008) no. 1, pp. 25-32 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We prove that any simplicial or parallelepipedal hypergeometric configuration admits a Puiseux polynomial basis in its solution space for suitable values of its parameters.
Keywords: hypergeometric systems.
Mots-clés : Puiseux polynomial basis 
@article{JSFU_2008_1_1_a2,
     author = {Timur M. Sadykov},
     title = {Hypergeometric {Systems} with {Polynomial} {Bases}},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {25--32},
     year = {2008},
     volume = {1},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2008_1_1_a2/}
}
TY  - JOUR
AU  - Timur M. Sadykov
TI  - Hypergeometric Systems with Polynomial Bases
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2008
SP  - 25
EP  - 32
VL  - 1
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/JSFU_2008_1_1_a2/
LA  - en
ID  - JSFU_2008_1_1_a2
ER  - 
%0 Journal Article
%A Timur M. Sadykov
%T Hypergeometric Systems with Polynomial Bases
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2008
%P 25-32
%V 1
%N 1
%U http://geodesic.mathdoc.fr/item/JSFU_2008_1_1_a2/
%G en
%F JSFU_2008_1_1_a2
Timur M. Sadykov. Hypergeometric Systems with Polynomial Bases. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 1 (2008) no. 1, pp. 25-32. http://geodesic.mathdoc.fr/item/JSFU_2008_1_1_a2/

[1] A. Dickenstein, L. Matusevich, T. Sadykov, “Bivariate hypergeometric D-modules”, Adv. in Math., 196:1 (2005), 78–123 | DOI | MR | Zbl

[2] I. M. Gelfand, M. I. Graev, V. S. Retach, “General hypergeometric systems of equations and series of hypergeometric type”, Russian Math. Surveys, 47:4 (1992), 1–88 | DOI | MR | Zbl

[3] V. P. Palamodov, Linear differential operators with constant coefficients, Nauka, Moscow, 1967 (Russian) | MR

[4] T. M. Sadykov, “On a multidimensional system of hypergeometric differential equations”, Siberian Math. J., 39 (1998), 986–997 | DOI | MR | Zbl

[5] M. Sato, “Theory of prehomogeneous vector spaces (algebraic part)”, Nagoya Math. J., 120 (1990), 1–34 | MR | Zbl