Article
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Umbral Methods and Harmonic Numbers
Version 1
: Received: 4 June 2018 / Approved: 5 June 2018 / Online: 5 June 2018 (11:52:13 CEST)
A peer-reviewed article of this Preprint also exists.
Dattoli, G.; Germano, B.; Licciardi, S.; Martinelli, M.R. Umbral Methods and Harmonic Numbers. Axioms 2018, 7, 62. Dattoli, G.; Germano, B.; Licciardi, S.; Martinelli, M.R. Umbral Methods and Harmonic Numbers. Axioms 2018, 7, 62.
Abstract
The theory of harmonic based function is discussed here within the framework of umbral operational methods. We derive a number of results based on elementary notions relying on the properties of Gaussian integrals.
Keywords
harmonic numbers; operators; umbral methods; special functions; Hermite polynomials
Subject
Computer Science and Mathematics, Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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