| 1. | This can be seen by comparing the generating function of the Hermite polynomials
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| 2. | An early definition of the FRFT was introduced by Wiener on Hermite polynomials.
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| 3. | Essentially the Weierstrass transform thus turns a series of Hermite polynomials into a corresponding Maclaurin series.
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| 4. | Note that the above expression is a special case of the representation of the probabilists'Hermite polynomials as moments
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| 5. | This implies Hermite polynomials can be expressed in terms of 1 " F " 1 as well.
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| 6. | Hermite polynomials were defined by though in scarcely recognizable form, and studied in detail by Chebyshev ( 1859 ).
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| 7. | PC was first introduced by Norbert Wiener where Hermite polynomials were used to model stochastic processes with Gaussian random variables.
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| 8. | With more general boundary conditions, the Hermite polynomials can be generalized to obtain more general analytic functions for a complex index.
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| 9. | Hermite polynomials, Hermite interpolation, Hermite normal form, Hermitian operators, and cubic Hermite splines are named in his honor.
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| 10. | This happens to be what's known as Hermite's differential equation, and the Hermite polynomials are the solution to it.
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