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math121b:10.7 [2020/03/30 05:06]
pzhou created
math121b:10.7 [2026/02/21 14:41] (current)
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-==== Problem ====+==== Problem 10.7====
 Show that Show that
 $$ \frac{d^{l-m}}{dx^{l-m}} (x^2-1)^{l}  = \frac{(l-m)!}{(l+m)!} (x^2-1)^m \frac{d^{l+m}}{dx^{l+m}} (x^2-1)^l $$ $$ \frac{d^{l-m}}{dx^{l-m}} (x^2-1)^{l}  = \frac{(l-m)!}{(l+m)!} (x^2-1)^m \frac{d^{l+m}}{dx^{l+m}} (x^2-1)^l $$
math121b/10.7.1585544817.txt.gz · Last modified: 2026/02/21 14:44 (external edit)