Dynamics of rational symplectic mappings and difference Galois theory (2008)
In this paper we study the relationship between the integrability of rational symplectic maps and difference Galois theory. We present a Galoisian condition, of Morales-Ramis type, ensuring the...
Dynamics of rational symplectic mappings and difference Galois theory (2008)
In this paper we study the relationship between the integrability of rational symplectic maps and difference Galois theory. We present a Galoisian condition, of Morales-Ramis type, ensuring the...
Dynamics of rational symplectic mappings and difference Galois theory (2008)
In this paper we study the relationship between the integrability of rational symplectic maps and difference Galois theory. We present a Galoisian condition, of Morales-Ramis type, ensuring the...
Dynamics of Rational Symplectic Mappings and Difference Galois Theory (2008)
In this paper, we study the relationship between the integrability of rational symplectic maps and difference Galois theory. We present a Galoisian condition, of Morales–Ramis type, ensuring the...
In this paper we compute the difference Galois groups of the Lie-irreducible regular singular generalized q-hypergeometric equations of order 3 with q-real parameters by using a density theorem due...
Galois groups of the basic hypergeometric equations (2007)
In this paper we compute the Galois groups of basic hypergeometric equations.
Familles fuchsiennes d'\'equations aux (q-)diff\'erences et confluence (2007)
In a first part, we give a method for solving a family of fuchsian systems of operators of pseudo-derivations associated to a family of homographies with two parameters which unify and generalize the...
Familles fuchsiennes d'équations aux (q-)différences et confluence. (2007)
In a first part, we give a method for solving a family of fuchsian systems of operators of pseudo-derivations associated to a family of homographies with two parameters which unify and generalize the...
Galois groups of the basic hypergeometric equations (2007)
In this paper we compute the Galois groups of basic hypergeometric equations.
In this paper we compute the difference Galois groups of the Lie-irreducible regular singular generalized q-hypergeometric equations of order 3 with q-real parameters by using a density theorem due...
In this paper we compute the difference Galois groups of the Lie-irreducible regular singular generalized q-hypergeometric equations of order 3 with q-real parameters by using a density theorem due...
Galois groups of the basic hypergeometric equations (2007)
In this paper we compute the Galois groups of basic hypergeometric equations.
Familles fuchsiennes d'équations aux (q-)différences et confluence. (2007)
In a first part, we give a method for solving a family of fuchsian systems of operators of pseudo-derivations associated to a family of homographies with two parameters which unify and generalize the...
Classification rationnelle et confluence des systemes aux differences singuliers reguliers (2006)
By using meromorphic "characters" and "logarithms" built up from Euler's Gamma function, and by using convergent factorial series, we will give, in a first pat, a "normal form" to the solutions of a...