SciPy

scipy.special.pbvv_seq

scipy.special.pbvv_seq(v, x)[source]

Parabolic cylinder functions Vv(x) and derivatives.

Parameters:

v : float

Order of the parabolic cylinder function

x : float

Value at which to evaluate the function and derivatives

Returns:

dv : ndarray

Values of V_vi(x), for vi=v-int(v), vi=1+v-int(v), ..., vi=v.

dp : ndarray

Derivatives V_vi’(x), for vi=v-int(v), vi=1+v-int(v), ..., vi=v.

References

[R562]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