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APM346-2016F
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APM346--Lectures
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Chapter 8
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Typo
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Topic: Typo (Read 4280 times)
Roro Sihui Yap
Full Member
Posts: 30
Karma: 16
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
»
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Victor Ivrii
Administrator
Elder Member
Posts: 2607
Karma: 0
Re: Typo
«
Reply #1 on:
November 23, 2016, 10:25:09 AM »
Indeed.
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Roro Sihui Yap
Full Member
Posts: 30
Karma: 16
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 $
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Toronto Math Forum
»
APM346-2016F
»
APM346--Lectures
»
Chapter 8
»
Typo