论文标题
部分可观测时空混沌系统的无模型预测
Truncated Hermite polynomials
论文作者
论文摘要
我们考虑多项式的家族$ p_ {n} \ left（x; z \ right），相对于内部乘积\ [\ left \ langle f，g \ rangle = \ rangle = \ ing = \ int _ { - z}^{z}^{z} f \ weft（x \ weft（x \ weft） \，dx。我们显示了有关系数的三个复发关系中的一些属性零。
We consider the family of polynomials $p_{n}\left( x;z\right) ,$ orthogonal with respect to the inner product \[ \left\langle f,g\right\rangle = \int_{-z}^{z} f\left( x\right) g\left( x\right) e^{-x^{2}} \,dx. \] We show some properties about the coefficients in their 3-term recurrence relation, connections between $p_{n}\left( x;z\right) $ and $p_{n}^{\prime}\left( x;z\right) ,$ a second order differential equation satisfied by $p_{n}\left( x;z\right) ,$ and an electrostatic interpretation of their zeros.
