The Hermite polynomials and the Bessel functions from a general point of view
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 ordi...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203211133 |
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| Summary: | 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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| ISSN: | 0161-1712 1687-0425 |