hermite( n , z )
The Hermite polynomial of z in SageMath. Defined by
\[ H_n(z) = (-1)^n e^{z^2} \frac{ d^n }{ dz^n } e^{-z^2} \]A solution of the differential equation
\[ \frac{ d^2 f }{ dz^2 } - 2z \frac{ d f }{ dz } + 2n f = 0 \]Explicit form:
Plot on the real axis:
Special values:
Function category: orthogonal polynomials sagemath-docs