This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision Next revision | Previous revision | ||
|
math121b:02-26 [2020/02/28 01:02] pzhou removed |
math121b:02-26 [2020/02/28 13:28] (current) pzhou [Rodrigue Formula] |
||
|---|---|---|---|
| Line 1: | Line 1: | ||
| - | ===== 2020-02-26, | + | ===== 2020-02-26, |
| Today we begin Chapter 12, the series solution to ODE. | Today we begin Chapter 12, the series solution to ODE. | ||
| Line 30: | Line 30: | ||
| ===== Rodrigue Formula ===== | ===== Rodrigue Formula ===== | ||
| - | $$ P_l(x) = \frac{1}{2 l!} (\d_x)^l (x^2 -1)^l $$ | + | $$ P_l(x) = \frac{1}{2^l l!} (\d_x)^l (x^2 -1)^l $$ |
| Let's show that it satisfies the Legendre equation. | Let's show that it satisfies the Legendre equation. | ||
| - | |||