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Parabolic cylinder functions of integer and half-integer orders for nonnegative arguments

โœ Scribed by J. Segura; A. Gil

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
911 KB
Volume
115
Category
Article
ISSN
0010-4655

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โœฆ Synopsis

We present two codes to evaluate Parabolic Cylinder Functions {V(a, x), U(a, x)} for integer and half-integer positive values of a and for nonnegative x The codes are based on the forward application of the recurrence relation for V(a, x), the backward recurrence for U(a, x), the Wronskian relation between V(a, x) and U(a, x). and the evaluation of a continued fraction for the ratio U(a,x)/U(a -I,x). The accuracy obtained is better than 10 -12 for 0 < x < 1.0 and better than 10 -14 for x > I. We discuss some applications of the codes. (~) 1998 E;sevier Science B.V.

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