math121b:03-30
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Table of Contents
2020-03-30, Monday
Today, we finish up some loose ends in Chapter 12 and talk about a few exercises.
Other Kinds of Bessel Functions (Boas 12.17)
Speherical Bessel function $j_n(x), y_n(x)$
These are related to half-integer order Bessel functions $J_{n+1/2}(x), Y_{n+1/2}(x)$.
$$ j_n(x) = \sqrt{ \frac{\pi}{2x}} J_{n+1/2}(x) = x^n \left( - \frac{1}{x} \frac{d}{dx} \right)^n \left( \frac{\sin x}{x} \right) $$
math121b/03-30.1585582414.txt.gz · Last modified: 2020/03/30 08:33 by pzhou
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