SciPy

scipy.special.pbdv_seq

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

Parabolic cylinder functions Dv(x) and derivatives.

Parameters
vfloat

Order of the parabolic cylinder function

xfloat

Value at which to evaluate the function and derivatives

Returns
dvndarray

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

dpndarray

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

References

1

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

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