Algorithms for the computation of all Mathieu functions of integer orders.

Algorithms for the computation of all Mathieu functions of integer orders.

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...

Täydet tiedot

Bibliografiset tiedot
Julkaisussa:ACM transactions on mathematical software. 26, 3 (2000).
Päätekijä: Alhargan, Fayez A.
Aineistotyyppi: Artikkeli
Kieli:English
Aiheet:
Hill's determinant.
Mathieu characteristic determinant.
Mathieu characteristic numbers.
Mathieu coefficients.
Mathieu differential equation.
Mathieu functions.
Elliptic cordinates.
Wave equation.