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Caloric polynomial
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Everything about Caloric Polynomial totally explained

In differential equations, the mth-degree caloric polynomial (or heat polynomial) is a "parabolically m-homogeneous" polynomial Pm(xt) that satisfies the heat equation » frac t^ell.

It is unique up to a factor.
   With t = −1, this polynomial reduces to the mth-degree Hermite polynomial in x.

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