EasyCalculusca-104

Hermite Polynomial Value

Problem

Evaluate the physicists' Hermite polynomial H_n(x) with the recurrence:

H_0 = 1, H_1 = 2x, H_{k+1} = 2 * x * H_k - 2 * k * H_{k-1}

Assume n >= 0.

Hint

The recurrence coefficient 2k distinguishes this convention from the probabilists' version.

case 1

in: [0,3]

expected: 1

case 2

in: [1,3]

expected: 6

case 3

in: [2,0.5]

expected: -1

case 4

in: [3,1]

expected: -4

case 5

in: [4,0.5]

expected: 1

Starter codePython

def hermite_h(n, x):
    # Your code here
    pass

5 test cases · run your code against them in the editor