Some Properties and Generating Functions of Generalized Harmonic Numbers

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dc.contributor.authorDattoli, Giuseppe
dc.contributor.authorLicciardi, Silvia
dc.contributor.authorSabia, Elio
dc.contributor.authorSrivastava, H.M.
dc.date.accessioned2020-01-09T00:30:41Z
dc.date.available2020-01-09T00:30:41Z
dc.date.copyright2019en_US
dc.date.issued2019
dc.description.abstractIn this paper, we introduce higher-order harmonic numbers and derive their relevant properties and generating functions by using an umbral-type method. We discuss the link with recent works on the subject, and show that the combinations of umbral and other techniques (such as the Laplace and other types of integral transforms) yield a very efficient tool to explore the properties of these numbers.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipThe work of S.L. was supported by a Enea-Research Center Individual Fellowship.en_US
dc.identifier.citationDattoli, G., Licciardi, S., Sabia, E. & Srivastava, H.M. (2019). Some Properties and Generating Functions of Generalized Harmonic Numbers. Mathematics, 7(7), 577. https://doi.org/10.3390/math7070577en_US
dc.identifier.urihttp://dx.doi.org/10.3390/math7070577
dc.identifier.urihttp://hdl.handle.net/1828/11472
dc.language.isoenen_US
dc.publisherMathematicsen_US
dc.subjectumbral methods
dc.subjectharmonic numbers
dc.subjectspecial functions
dc.subjectintegral representations
dc.subjectlaplace and other integral transforms
dc.subject.departmentDepartment of Mathematics and Statistics
dc.subject.departmentDepartment of Anthropology
dc.titleSome Properties and Generating Functions of Generalized Harmonic Numbersen_US
dc.typeArticleen_US

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