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Some properties and generating functions of generalized harmonic numbers

TitleSome properties and generating functions of generalized harmonic numbers
Publication TypeArticolo su Rivista peer-reviewed
Year of Publication2019
AuthorsDattoli, G., Licciardi S., Sabia E., and Srivastava H.M.
JournalMathematics
Volume7
Abstract

In 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. © 2019 by the authors.

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URLhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85068854720&doi=10.3390%2fmath7070577&partnerID=40&md5=5ff04d665fea4b0e01b3ee1f8303a165
DOI10.3390/math7070577
Citation KeyDattoli2019