Author Topic: Typo  (Read 807 times)

Roro Sihui Yap

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Typo
« on: November 23, 2016, 12:36:48 AM »
http://www.math.toronto.edu/courses/apm346h1/20169/PDE-textbook/Chapter8/S8.1.html#mjx-eqn-eq-8.1.15

Just below equation (15), I think that it should be
$$\frac{\rho^2 P''+2\rho P'+\lambda \rho^2 P}{P}+
\frac{\Lambda Y }{Y}=0$$

Instead of:
$$\frac{\rho^2 P''+2\rho P'+\lambda P}{\rho^2 P}+
\frac{\Lambda Y }{Y}=0$$

If not, equation (16) would not follow
$$\rho^2 P''+2\rho P'+(\lambda \rho^2 - l(l+1)  )P=0.$$
« Last Edit: November 23, 2016, 12:38:35 AM by Roro Sihui Yap »

Victor Ivrii

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Re: Typo
« Reply #1 on: November 23, 2016, 10:25:09 AM »
Indeed.

Roro Sihui Yap

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Re: Typo
« Reply #2 on: November 23, 2016, 05:48:49 PM »
Minor typo at the end of Theorem 2
It should be $m=-l,1-l,\ldots,l-1,l$ not $m=-l,1-l,\ldots,l-1,m $