Chapter 12: Q8-6P (page 562)
Multiply(5.8e)by and integrate from -1 to 1. To evaluate the middle term, integrate by parts.
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Write (10.7) with m replaced by -m; then use Problem 7 to show that Pl-m(x) = (-1)m (l-m)!/(l+m)! Plm(x).
Comment: This shows that (10.7) is a solution of (10.1) when m is negative.
To calculate the given system of equation.
To study the approximations in the table, a computer plot on the same axes the given function together with its small x approximation and its asymptotic approximation. Use an interval large enough to show the asymptotic approximation agreeing with the function for large x. If the small x approximation is not clear, plot it alone with the function over a small interval
To calculate the given system of equation..
Expand the following functions in Legendre series.
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