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Open AccessArticle

Umbral Methods and Harmonic Numbers

1
ENEA—Frascati Research Center, Via Enrico Fermi 45, 00044 Rome, Italy
2
Department of Methods and Mathematic Models for Applied Sciences, University of Rome, La Sapienza, Via A. Scarpa, 14, 00161 Rome, Italy
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Axioms 2018, 7(3), 62; https://doi.org/10.3390/axioms7030062
Received: 4 June 2018 / Revised: 22 August 2018 / Accepted: 24 August 2018 / Published: 1 September 2018
(This article belongs to the Special Issue Mathematical Analysis and Applications)
The theory of harmonic-based functions 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. View Full-Text
Keywords: harmonic numbers 11K99; operators 44A99, 47B99; umbral methods 05A40; special functions 33C52, 33C65, 33C99, 33B10, 33B15; Hermite polynomials 33C45 harmonic numbers 11K99; operators 44A99, 47B99; umbral methods 05A40; special functions 33C52, 33C65, 33C99, 33B10, 33B15; Hermite polynomials 33C45
MDPI and ACS Style

Dattoli, G.; Germano, B.; Licciardi, S.; Martinelli, M.R. Umbral Methods and Harmonic Numbers. Axioms 2018, 7, 62.

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