Showing math.CAShow all
3 papers · 1 filter
math.CA2020
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…
math.CA2019
Bernoulli and Euler numbers from divergent series
Sergio A. Carrillo
The aim of this note is to provide a simple proof of some well-known identities and recurrences relating classical Bernoulli and Euler numbers by using the Abel sum of the divergen…
math.CA2018
Summability in a monomial for some classes of singularly perturbed partial differential equation
Sergio A. Carrillo
The aim of this paper is to continue the study of asymptotic expansions and summability in a monomial in any number of variables. In particular we characterize these expansions in…