SciPy

scipy.special.pbdn_seq

scipy.special.pbdn_seq(n, z)[source]

Parabolic cylinder functions Dn(z) and derivatives.

Parameters:

n : int

Order of the parabolic cylinder function

z : complex

Value at which to evaluate the function and derivatives

Returns:

dv : ndarray

Values of D_i(z), for i=0, ..., i=n.

dp : ndarray

Derivatives D_i’(z), for i=0, ..., i=n.

References

[R561]Zhang, Shanjie and Jin, Jianming. “Computation of Special Functions”, John Wiley and Sons, 1996, chapter 13. https://people.sc.fsu.edu/~jburkardt/f_src/special_functions/special_functions.html