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

[R328]Zhang, Shanjie and Jin, Jianming. “Computation of Special Functions”, John Wiley and Sons, 1996, chapter 13. http://jin.ece.illinois.edu/specfunc.html