3 papers
math.AP2025
Formal power series solutions with coefficients defined on shrinking discs for some partial differential equations
Alberto Lastra, Sławomir Michalik, Maria Suwińska
In this paper conditions, under which an integro-differential operator is a linear automorphism, are provided. Alternatively, the problem can be considered in terms of existence of…
math.CV2024
On integral representations of -difference operators and their applications
Antonio Cáceres, Alberto Lastra, Sławomir Michalik +1
Integral representations of two -difference operators are provided in terms of special functions arising in the theory of asymptotic solutions to -difference equations in the…
math.CV2016
On a class of formal power series and their summability
A. Lastra, J. Sanz, J. R. Sendra
A family of formal power series, such that its coefficients satisfy a recursion formula, is characterized in terms of the summability, in the sense of J. P. Ramis, of its elements…