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

[R337]Zhang, Shanjie and Jin, Jianming. “Computation of Special Functions”, John Wiley and Sons, 1996, chapter 13. http://jin.ece.illinois.edu/specfunc.html