Geodesic
On the Algebraic Properties of Solutions of Inhomogeneous Hypergeometric Equations
Matematičeskie zametki, Tome 99 (2016) no. 5, pp. 658-672

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

Generalized hypergeometric differential equations of arbitrary order are considered. Necessary and sufficient conditions for the algebraic independence of solutions of collections of such equations, as well as of their values at algebraic points, are obtained.
Keywords: hypergeometric differential equation, algebraic independence of solutions, algebraic point
Mots-clés : Galois group. 
@article{MZM_2016_99_5_a2,
     author = {V. A. Gorelov},
     title = {On the {Algebraic} {Properties} of {Solutions} of {Inhomogeneous} {Hypergeometric} {Equations}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {658--672},
     publisher = {mathdoc},
     volume = {99},
     number = {5},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2016_99_5_a2/}
}
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V. A. Gorelov. On the Algebraic Properties of Solutions of Inhomogeneous Hypergeometric Equations. Matematičeskie zametki, Tome 99 (2016) no. 5, pp. 658-672. http://geodesic.mathdoc.fr/item/MZM_2016_99_5_a2/