Darwin's Expansions

Series expansions of the Parabolic Cylinder Functions $U(a,x)$ and $W(a,x)$. The formulas can be found in Abramowitz and Stegun (1972).

References

Abramowitz, M. and Stegun, C. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 689-690 and 694-695, 1972.