About the Project
12 Parabolic Cylinder FunctionsComputation

§12.18 Methods of Computation

Because PCFs are special cases of confluent hypergeometric functions, the methods of computation described in §13.29 are applicable to PCFs. These include the use of power-series expansions, recursion, integral representations, differential equations, asymptotic expansions, and expansions in series of Bessel functions. See, especially, Temme (2000) and Gil et al. (2004c, 2006a, 2006b, 2011a, 2011b).