descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 05 Jun 2018Embargo end date: 01 Jan 2017 English Publisher:MDPI AGJournal:Axioms, volume 7, page 62 (eissn: 2075-1680,

Authors: Dattoli G.; Germano B.; Licciardi S.; Martinelli M. R.;

doi: 10.3390/axioms7030062 , 10.20944/preprints201806.0065.v1 , 10.48550/arxiv.1707.05206

arXiv: http://arxiv.org/abs/1707.05206

handle: 10447/614518 , 11573/1021834

Umbral Methods and Harmonic Numbers

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Abstract

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.

Related Organizations

Sapienza University of Rome
Italy
University of Palermo
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National Agency For New Technologies, Energy and Sustainable Economic Development
Italy
ENEA Frascati Research Centre
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University of Rome Tor Vergata
Italy

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Keywords

33B15, Operators 44A99, 47B99, 33B10, umbral methods 05A40, 33C99, Settore MAT/08 - Analisi Numerica, special functions 33C52, 33C65, 33C99, 33B10, 33B15, Special functions 33C52, Harmonic numbers 11K99, QA1-939, Classical Analysis and ODEs (math.CA), FOS: Mathematics, operators 44A99, 47B99, general_mathematics, Operators 44A99, Umbral methods 05A40, 33C65, Special functions 33C52, 33C65, 33C99, 33B10, 33B15, harmonic numbers 11K99; operators 44A99 47B99; umbral methods 05A40, Settore MAT/02 - Algebra, 47B99, Mathematics - Classical Analysis and ODEs, harmonic numbers 11K99, Hermite polynomials 33C45, Mathematics

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