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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]
Line 38: Line 38:
 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 'hyperbolic' Bessel function. $R(r)$ looks like expoential function, with no oscillation. +where $I_n(kr)$ is the 'hyperbolic' Bessel function. $R( r)$ looks like expoential function, with no oscillation. 
  
 ** Eigenvalue problem for $Z( z)$ ** \\ ** Eigenvalue problem for $Z( z)$ ** \\
math121b/04-03.1585932904.txt.gz · Last modified: 2020/04/03 09:55 by pzhou