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math121b:04-03 [2020/04/03 09:55] pzhou |
math121b:04-03 [2020/04/03 10:39] (current) pzhou [Cylindrical Coordinate] |
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If $\lambda_r > 0$, say $\lambda_r = k^2$ for $k>0$, then we will take | If $\lambda_r > 0$, say $\lambda_r = k^2$ for $k>0$, then we will take | ||
$$ R( r) = I_n(kr) = i^n J_n(i k r) $$ | $$ R( r) = I_n(kr) = i^n J_n(i k r) $$ | ||
- | where $I_n(kr)$ is the ' | + | where $I_n(kr)$ is the ' |
** Eigenvalue problem for $Z( z)$ ** \\ | ** Eigenvalue problem for $Z( z)$ ** \\ |