20 citations · 43 across the 15 of their papers we have counts for
16 papers
On certain polynomial systems involving Stirling numbers of second kind
F. J. Castro-Jiménez, H. Cobo
We solve a special type of linear systems with coefficients in multivariate polynomial rings. These systems arise in the computation of parametric Bernstein-Sato polynomials associ…
Echelons of power series and Gabrielov's counterexample to nested linear Artin Approximation
M. E. Alonso, F. J. Castro-Jiménez, H. Hauser +1
Gabrielov's famous example for the failure of analytic Artin approximation in the presence of nested subring conditions is shown to be due to a growth phenomenon in standard basis…
Linear nested Artin approximation theorem for algebraic power series
Francisco-Jesus Castro-Jiménez, Dorin Popescu, Guillaume Rond
We give a new and elementary proof of the nested Artin approximation Theorem for linear equations with algebraic power series coefficients. Moreover, for any Noetherian local subri…
Gevrey expansions of hypergeometric integrals I
F. J. Castro-Jimenez, M. Granger
We study integral representations of the Gevrey series solutions of irregular hypergeometric systems. In this paper we consider the case of the systems associated with a one row ma…
Homogenising differential operators
F. J. Castro-Jimenez, L. Narvaez-Macarro
We consider the Weyl algebra A (=A_n(k)) and its Rees algebra B with respect to the Bernstein filtration. The homogenisation of a differential operator in A is an element in B. In…
Irregular Modified -Hypergeometric Systems
Francisco-Jesus Castro-Jimenez, Maria-Cruz Fernandez-Fernandez, Tatsuya Koike +1
A modified -hypergeometric system is a system of differential equations for the function where is a solution of an -hypergeometric system in varia…