Two simple pairs of asymptotic expansions in terms of Hermite functions are obtained for the'solutions of the ellipsoidal wave equation.
On Asymptotic Expansions of Ellipsoidal Wave Functions
✍ Scribed by Harald J. W. Müller
- Publisher
- John Wiley and Sons
- Year
- 1966
- Tongue
- English
- Weight
- 482 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
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 u dn u 7 cn u dn u If cn u , L I ; an u -t k on u d n u -kcnu --) , c . ( d n u -k c n u the expansions for C' [ z (u + 2 X)] and C [ z (u f 2 X ) ] being suitable for (Eingegangen am 21. 6. 1965
📜 SIMILAR VOLUMES
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.