Algorithms for the computation of all Mathieu functions of integer orders
โ Scribed by Alhargan, Fayez A.
- Book ID
- 120591193
- Publisher
- Association for Computing Machinery
- Year
- 2000
- Tongue
- English
- Weight
- 123 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0098-3500
No coin nor oath required. For personal study only.
โฆ Synopsis
The article presents methods for the computation of all Mathieu functions of integer order, which cover a large range of
n
and
h
; previous algorithms were limited to small values of
n
. The algorithms are given in sufficient detail to enable straightforward implementation. The algorithms can handle a large range of the order
n
(0-200) and the parameter
h
(0-4
n
).
๐ SIMILAR VOLUMES
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