Matrices de Stokes et groupe de Galois des équations hypergéometriques confluentes generalisées. (Stokes matrices and Galois groups of generalized confluent hypergeometric equations)

DOI10.2140/pjm.1989.138.25zbMath0705.34068OpenAlexW1982318194MaRDI QIDQ917769

Anne Duval, Claude Mitschi

Publication date: 1989

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1989.138.25

zbMATH Keywords

Mellin transformset of fundamental solutionsStokes Matrices

Mathematics Subject Classification ID

Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items

On the algebraic dependence of holonomic functions ⋮ On classical irregular q-difference equations ⋮ Reducible hypergeometric operators: Decompositions and differential Galois groups ⋮ On Ramis's solution of the local inverse problem of differential Galois theory ⋮ Resurgence, Stokes phenomenon and alien derivatives for level-one linear differential systems ⋮ Stokes matrices for Airy equations ⋮ Remarks on rigid irreducible meromorphic connections on the projective line ⋮ The Stokes phenomenon for an irregular Gelfand-Kapranov-Zelevinsky system associated with a rank one lattice ⋮ Generalized basic hypergeometric equations ⋮ Linear meromorphic differential equations: A modern point of view ⋮ Arithmetic theory of \(E\)-operators ⋮ Local differental Galois group and adjoint representation. ⋮ Stokes matrices of hypergeometric integrals ⋮ Unnamed Item ⋮ Automatic computation of Stokes matrices ⋮ Symmetric solutions to the four dimensional degenerate Painlevé type equation NY ^{A ₄}