Parabolic cylinder functions of integer and half-integer orders for nonnegative arguments. (English) Zbl 1001.65021
Summary: We present two codes to evaluate parabolic cylinder functions for integer and half-integer positive values of and for nonnegative . The codes are based on the forward application of the recurrence relation for , the backward recurrence for , the Wronskian relation between and , and the evaluation of a continued fraction for the ratio . The accuracy obtained is better than for and better than for . We discuss some applications of the codes.
|65D20||Computation of special functions, construction of tables|
|33C10||Bessel and Airy functions, cylinder functions, |
|33F05||Numerical approximation and evaluation of special functions|