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Spherical harmonics and related topics (1997).
| Content Provider | CiteSeerX |
|---|---|
| Author | Randall, David A. |
| Abstract | os ------------ 2 V l 2 --------- j ------ j V j ------- cos + + 0 . = V r l j , , ( ) r n Y n j l , ( ) = Y n l j , ( ) r 0 n 0 n 0 = 2 Printed March 21, 1997 9:06 am Using , which follows immediately from (3), we can rewrite (2) as (4) This is now a problem in two independent variables, l and j. Note that n, the exponent of r in (3), is still visible in (4), like the smile of the Cheshire cat, even though r itself has disappeared. Next, we separate the longitude and latitude dependence in the , i.e. (5) By substitution of (5) into (4), we find that (6) The left-hand side of (6) do |
| File Format | |
| Publisher Date | 1997-01-01 |
| Access Restriction | Open |
| Subject Keyword | Related Topic Spherical Harmonic Latitude Dependence Cheshire Cat Independent Variable Left-hand Side |
| Content Type | Text |