scipy.special.pbvv_seq¶

scipy.special.pbvv_seq(v, x)[source]¶

Parabolic cylinder functions Vv(x) and derivatives.

Parameters:

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.

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

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