We formulate and prove a combinatorial criterion to decide if an A-hypergeometric system of differential equations has a full set of algebraic solutions or not. This criterion generalises the so-called interlacing criterion in the case of hypergeometric functions of one variable
International audience$G$-functions are power series in $\Qbar[[z]]$ solutions of linear differentia...
AbstractSeveral infinite systems of nonlinear algebraic equations satisfied by the zeros of confluen...
It is well known that generating functions play an important role in theory of the classical orthogo...
We formulate and prove a combinatorial criterion to decide if an A-hypergeometric system of differen...
The study of hypergeometric functions started in 1813 with a paper by Gauss. Hypergeometric function...
AbstractThe roots of the general equation of degree n satisfy an A-hypergeometric system of differen...
We consider A-hypergeometric functions associated to normal sets in the plane.We give a classificati...
The development of new methods for the algebraic property investigation of linear differential equat...
We present solutions for general theorems regarding algebraic independence of solutions of hypergeom...
We provide a complete classification of the algebraicity of (generalized) hypergeometric functions w...
This thesis deals with hypergeometric functions in several complex variables and systems of partial ...
We give a combinatorial formula of the dimension of global solutions to a generalization of Gauss-Ao...
We make a detailed analysis of the A-hypergeometric system (or GKZ system) associated with a monomia...
We describe the structure of all codimension-2 lattice configurations A which admit a stable rationa...
We describe the structure of all codimension-2 lattice configurations A which admit a stable rationa...
International audience$G$-functions are power series in $\Qbar[[z]]$ solutions of linear differentia...
AbstractSeveral infinite systems of nonlinear algebraic equations satisfied by the zeros of confluen...
It is well known that generating functions play an important role in theory of the classical orthogo...
We formulate and prove a combinatorial criterion to decide if an A-hypergeometric system of differen...
The study of hypergeometric functions started in 1813 with a paper by Gauss. Hypergeometric function...
AbstractThe roots of the general equation of degree n satisfy an A-hypergeometric system of differen...
We consider A-hypergeometric functions associated to normal sets in the plane.We give a classificati...
The development of new methods for the algebraic property investigation of linear differential equat...
We present solutions for general theorems regarding algebraic independence of solutions of hypergeom...
We provide a complete classification of the algebraicity of (generalized) hypergeometric functions w...
This thesis deals with hypergeometric functions in several complex variables and systems of partial ...
We give a combinatorial formula of the dimension of global solutions to a generalization of Gauss-Ao...
We make a detailed analysis of the A-hypergeometric system (or GKZ system) associated with a monomia...
We describe the structure of all codimension-2 lattice configurations A which admit a stable rationa...
We describe the structure of all codimension-2 lattice configurations A which admit a stable rationa...
International audience$G$-functions are power series in $\Qbar[[z]]$ solutions of linear differentia...
AbstractSeveral infinite systems of nonlinear algebraic equations satisfied by the zeros of confluen...
It is well known that generating functions play an important role in theory of the classical orthogo...
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