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Some Properties and Generating Functions of Generalized Harmonic Numbers

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 t...

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Uloženo v:
Hlavní autoři: Giuseppe Dattoli, Silvia Licciardi, Elio Sabia, Hari M. Srivastava
Médium: Artigo
Jazyk:Inglês
Vydáno: MDPI AG 2019-06-01
Edice:Mathematics
Témata:
umbral methods
harmonic numbers
special functions
integral representations
laplace and other integral transforms
On-line přístup:https://www.mdpi.com/2227-7390/7/7/577
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