The truncated exponential polynomials, the associated Hermite forms and applications

G. Dattoli and M. Migliorati

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-10

Abstract:

We discuss the properties of the truncated exponential polynomials anddevelop the theory of new form of Hermite polynomials, which can beconstructed using the truncated exponential as a generating function. Wederive their explicit forms and comment on their usefulness in applications,with particular reference to the theory of flattened beams, used in optics.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:098175

DOI: 10.1155/IJMMS/2006/98175

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