“Hermite polynomials”的概念、定义、翻译、参考文献-科学参考

单词	Hermite polynomials
释义	Hermite polynomials Mathematics Orthogonal polynomials H_n(x), for n ≥ 0, defined by $H_{n} (x) = {(- 1)}^{n} e^{x^{2}} \frac{d^{n}}{d x^{n}} (e^{- x^{2}}) .$ The polynomials are orthogonal with weight function w(x)= exp(−x²) on ℝ. The polynomials arise variously, including in modelling the harmonic oscillator with Schrödinger’s equation.
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