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Asymptotic expansions of mathieu functions in wave mechanics

✍ Scribed by G Hunter; Mary Kuriyan

Book ID
107788509
Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
376 KB
Volume
21
Category
Article
ISSN
0021-9991

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πŸ“œ SIMILAR VOLUMES

On Asymptotic Expansions of Ellipsoidal
On Asymptotic Expansions of Ellipsoidal Wave Functions
✍ Harald J. W. MΓΌller πŸ“‚ Article πŸ“… 1966 πŸ› John Wiley and Sons 🌐 English βš– 482 KB

dn u + k cn u A . (dn u + k cn u)~'", A . ( d n u -k c n u d n u -k c n u the expansions for A (u) and A (u) being suitable for ~-dnu+(:nu i I > -; d n u h c c n u 3c B.(-. dn u ~-+ k cn -) u d n u -k c n u the expansions for H [ x (u)] and B [ z (u)] being suitable for -~ B . -\_ \_ ~ , -( dn uk cn

Asymptotic Expansions of Ellipsoidal Wav
Asymptotic Expansions of Ellipsoidal Wave Functions and their Characteristic Numbers
✍ Harald J. W. MΓΌller πŸ“‚ Article πŸ“… 1966 πŸ› John Wiley and Sons 🌐 English βš– 488 KB

I t is shown that a simple pair of asymptotic expansions exists for solutions of the ellipsoidal wave equation. An asymptotic expansion for t,he characteristic numbers is also obtained.