13 citations · 34 across the 11 of their papers we have counts for
12 papers
A Möbius function computing -polynomials of nestohedra
Nicolas Avila Ramirez, Sergio A. Carrillo, Rafael S. González D'León
We introduce a poset of weighted hypergraphs on a fixed vertex set which has a remarkable property: the Möbius values of the intervals associated to any hypergraph give, up to sign…
q-Nagumo norms and formal solutions to singularly perturbed q-difference equations
Sergio A. Carrillo, Alberto Lastra
The aim of this work is to establish the existence, uniqueness and q-Gevrey character of formal power series solutions of q-analogues of analytic doubly-singular equations. Using a…
Formal Gevrey solutions -- in analytic germs -- for higher order holomorphic PDEs
Sergio A. Carrillo, Alberto Lastra
We consider a family of holomorphic PDEs whose singular locus is given by the zero set of an analytic map with . Our goal is to establish conditions for the existence a…
Where did the examples of Abel's continuity theorem go?
Sergio A. Carrillo
Abel's continuity theorem for power series is a great tool to compute sums and prove properties of special functions. However, apart from two basic examples, this no longer occupie…
Appell and Sheffer sequences: on their characterizations through functionals and examples
Sergio A. Carrillo, Miguel Hurtado
The aim of this paper is to present a new simple recurrence for Appell and Sheffer sequences in terms of the linear functional that defines them, and to explain how this is equival…
Formal -Gevrey series solutions of first order holomorphic PDEs
Sergio A. Carrillo, Carlos A. Hurtado
We provide a complete and self-contained proof of the Gevrey character, in an analytic function , of formal power series solutions of some families of first order holomorphic PD…