AbstractWe prove that the minimum order of an algebraic differential equation satisfied by a Schanuel function depends on the number of algebraically independent functions needed to build up the function. This extends a result of A. Babakhanian on towers of exponentials
International audienceA power series being given as the solution of a linear differential equation w...
Differential equations with the Painlevé property have been studied extensively due to their appeara...
AbstractWe analyse the complexity of a simple algorithm for computing asymptotic solutions of algebr...
101 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1993.The Schanuel class consists o...
International audienceIt is classical that univariate algebraic functions satisfy linear differentia...
In this thesis we study Ax-Schanuel type inequalities for abstract differential equations. A motivat...
In this work we consider a given root of a family of n-degree polynomials as a one-variable function...
In this paper, we present an abstract framework which describes algebraically the derivation of orde...
This thesis is a model-theoretic study of exponential differential equations in the context of diffe...
I approve this thesis for the master's degree, J.N. FellowsTypescriptM.A. University of Missouri 190...
In this paper, the growth of the meromorphic solutions of the equation f" = L(z, f)(f')(2) + M(z, f)...
I prove a version of Schanuel's conjecture for Weierstrass equations in differential fields, answeri...
This thesis is a model-theoretic study of exponential differential equations in the context of diffe...
A uniform version of the Schanuel conjecture is discussed that has some model-theoretical motivation...
International audienceA power series being given as the solution of a linear differential equation w...
Differential equations with the Painlevé property have been studied extensively due to their appeara...
AbstractWe analyse the complexity of a simple algorithm for computing asymptotic solutions of algebr...
101 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1993.The Schanuel class consists o...
International audienceIt is classical that univariate algebraic functions satisfy linear differentia...
In this thesis we study Ax-Schanuel type inequalities for abstract differential equations. A motivat...
In this work we consider a given root of a family of n-degree polynomials as a one-variable function...
In this paper, we present an abstract framework which describes algebraically the derivation of orde...
This thesis is a model-theoretic study of exponential differential equations in the context of diffe...
I approve this thesis for the master's degree, J.N. FellowsTypescriptM.A. University of Missouri 190...
In this paper, the growth of the meromorphic solutions of the equation f" = L(z, f)(f')(2) + M(z, f)...
I prove a version of Schanuel's conjecture for Weierstrass equations in differential fields, answeri...
This thesis is a model-theoretic study of exponential differential equations in the context of diffe...
A uniform version of the Schanuel conjecture is discussed that has some model-theoretical motivation...
International audienceA power series being given as the solution of a linear differential equation w...
Differential equations with the Painlevé property have been studied extensively due to their appeara...
AbstractWe analyse the complexity of a simple algorithm for computing asymptotic solutions of algebr...
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