How we can access the Hermit Equation in Quantum?

Question

the equation is (Zigma ((-1)^k.n!.2x^2m-k)/k!(m-2k)!)from 0 to M
that M=m/2 or M=m-1/2
we solve the the differential equation(hermit) but how we can access to this complete formula.please write the all details.

Answer 1

If you mean Hermite see
http://mathworld.wolfram.com/HermiteDifferentialEquation.html