The Hermite Polynomials and the Bessel Functions from a General Point of View
Date
2003
Authors
Dattoli, G.
Srivastava, H.M.
Sacchetti, D.
Journal Title
Journal ISSN
Volume Title
Publisher
International Journal of Mathematics and Mathematical Sciences
Abstract
We introduce new families of Hermite polynomials and of Bessel functions from a point of view involving the use of nonexponential generating functions. We study their relevant recurrence relations and show that they satisfy differential-difference equations which are isospectral to those of the ordinary case. We also indicate the usefulness of some of these new families.
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Citation
Dattoli, G., Srivastava, H.M. & Sacchetti, D. (2003). The Hermite Polynomials and the Bessel Functions from a General Point of View. International Journal of Mathematics and Mathematical Sciences, (23)57, 3633-3642. http://dx.doi.org/10.1155/S0161171203211133