The Le Roy function and its extensions have gained noticeable interest within the context of diverse applications in calculus. We study an extension of the Le Roy function, its relevant properties, regarding e.g. integration and successive derivatives, through a formalism of operational nature. The results obtained in this note, in the light of Umbral Calculus, provide simplifying means for their use in the study of specific problems as in Physics and fractional order models.
On the properties of the Le Roy function and of its generalized forms
Dattoli G.;Di Palma E.
2025-01-01
Abstract
The Le Roy function and its extensions have gained noticeable interest within the context of diverse applications in calculus. We study an extension of the Le Roy function, its relevant properties, regarding e.g. integration and successive derivatives, through a formalism of operational nature. The results obtained in this note, in the light of Umbral Calculus, provide simplifying means for their use in the study of specific problems as in Physics and fractional order models.File in questo prodotto:
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