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About Hermite polynomials on the plane
The space {\cal P}_n of bivariate generalised Hermite polynomials of degree n is invariant under rotations. We exploit this symmetry to construct an orthonormal basis for {\cal P}_n which consists of the rotations of a single polynomial through the angles {\ell\pi\over n+1} , ℓ=0,...n. Thus we obtain an orthogonal expansion which retains as much of the symmetry of {\cal P}_n as is possible. Indeed we show that a continuous version of this orthogonal expansion exists.
Detailed Information
| Author: | Waldron S. |
|---|---|
| Publication Year: | 2007 |
| ISBN: | 355890 |
| Pages: | 8 |
| Language: | English |
| File Size: | 0.241 |
| Format: | |
| Price: | FREE |
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