Proving Bessel to Legendre in Dodelson's Cosmology Book

nicksauce · 2010-04-17T22:52:04+00:00

In Dodelson's cosmology book it is claimed that "For large x, J_0(x\theta)\rightarrow P_{x}(cos\theta)". Does anyone have any insight on how to begin proving this?

Thread 'How does time derivative commute from one variable to another?'

I'm reviewing Meirovitch's "Methods of Analytical Dynamics," and I don't understand the commutation of the derivative from r to dr: $$ \mathbf{F} \cdot d\mathbf{r} = m \ddot{\mathbf{r}} \cdot d\mathbf{r} = m\mathbf{\dot{r}} \cdot d\mathbf{\dot{r}} $$

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Thread 'How does time derivative commute from one variable to another?'

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