Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

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