SciPy

scipy.special.pbdv_seq

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

Parabolic cylinder functions Dv(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 D_vi(x), for vi=v-int(v), vi=1+v-int(v), ..., vi=v.

dp : ndarray

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

References

[R338]Zhang, Shanjie and Jin, Jianming. “Computation of Special Functions”, John Wiley and Sons, 1996, chapter 13. http://jin.ece.illinois.edu/specfunc.html

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