The truncated exponential polynomials, the associated Hermite forms and applications

نویسندگان

  • Giuseppe Dattoli
  • Mauro Migliorati
چکیده

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

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عنوان ژورنال:
  • Int. J. Math. Mathematical Sciences

دوره 2006  شماره 

صفحات  -

تاریخ انتشار 2006