Some Properties and Generating Functions of Generalized Harmonic Numbers

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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Bibliographic Details
Main Authors: Giuseppe Dattoli, Silvia Licciardi, Elio Sabia, Hari M. Srivastava
Format: Article
Language:English
Published: MDPI AG 2019-06-01
Series:Mathematics
Subjects:
umbral methods
harmonic numbers
special functions
integral representations
laplace and other integral transforms
Online Access:https://www.mdpi.com/2227-7390/7/7/577

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https://www.mdpi.com/2227-7390/7/7/577

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