hermite多项式matlab代码

以下是Hermite多项式的Matlab代码实现：

function H = hermite(n,x)
% HERMITE evaluates the Hermite polynomial of degree n at x
% using the recursive relation
% H_0(x) = 1
% H_1(x) = 2*x
% H_{n+1}(x) = 2*x*H_n(x) - 2*n*H_{n-1}(x)

if n==0
    H = 1;
elseif n==1
    H = 2*x;
else
    Hn1 = 2*x;
    Hn2 = 1;
    for i=2:n
        H = 2*x*Hn1 - 2*(i-1)*Hn2;
        Hn2 = Hn1;
        Hn1 = H;
    end
end
end

使用方法为：输入$n$和$x$，即可计算出$H_n(x)$的值。