In differential equations, the mth-degree caloric polynomial (or heat polynomial) is a "parabolically m-homogeneous" polynomial Pm(x, t) that satisfies the heat equation ∂ P ∂ t = ∂ 2 P ∂ x 2 . {\displaystyle {\frac {\partial P}{\partial t}}={\frac {\partial ^{2}P}{\partial x^{2}}}.} "Parabolically m-homogeneous" means P ( λ x , λ 2 t ) = λ m P ( x , t ) for λ > 0.
In differential equations, the mth-degree caloric polynomial (or heat polynomial) is a "parabolically m-homogeneous" polynomial Pm(x, t) that satisfies the heat equation ∂ P ∂ t = ∂ 2 P ∂ x 2 . {\displaystyle {\frac {\partial P}{\partial t}}={\frac {\partial ^{2}P}{\partial x^{2}}}.} "Parabolically m-homogeneous" means P ( λ x , λ 2 t ) = λ m P ( x , t ) for λ > 0.
Source: Wikipedia "Caloric polynomial" · CC BY-SA 4.0
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