Chapter 12 Parabolic Cylinder Functions
- Acknowledgments:
- This chapter is based in part on Abramowitz and Stegun (1964, Chapter 19) by J. C. P. Miller.
- Notes:
- The main references used in writing this chapter are Erdélyi et al. (1953b, v. 2), Miller (1955), and Olver (1959). For additional bibliographic reading see Buchholz (1969), Lebedev (1965), Magnus et al. (1966), Olver (1997b), and Temme (1996b).
- Referenced by:
- §18.15(v), Nico M. Temme, § ‣ § Software Cross Index
- Permalink:
- http://dlmf.nist.gov/12
Centrum voor Wiskunde en Informatica, Department MAS, Amsterdam, The Netherlands.
- Notation
-
Properties
- 12.2 Differential Equations
- 12.3 Graphics
- 12.4 Power-Series Expansions
- 12.5 Integral Representations
- 12.6 Continued Fraction
- 12.7 Relations to Other Functions
- 12.8 Recurrence Relations and Derivatives
- 12.9 Asymptotic Expansions for Large Variable
- 12.10 Uniform Asymptotic Expansions for Large Parameter
- 12.11 Zeros
- 12.12 Integrals
- 12.13 Sums
- 12.14 The Function
- 12.15 Generalized Parabolic Cylinder Functions