2 papers
math.FA2026
Complex hyper-power series and generalized complex analytic functions
Sekar Nugraheni, Paolo Giordano
This paper studies the equivalence between generalized holomorphic functions (GHF) and complex analytic functions in the framework of Robinson-Colombeau generalized numbers. In eve…
math.FA2025
Dirac delta as a generalized holomorphic function
Sekar Nugraheni, Paolo Giordano
The definition of a non-trivial space of generalized functions of a complex variable allowing to consider derivatives of continuous functions is a non-obvious task, e.g. because of…