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math.HO2020
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…
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…