Series solutions to ordinary differential equations: Rodrigues' Formula ODE question?

Chris

New member
Show that the integral from -1 to 1 of x^m multiplied by the Lth derivative of (x^2-1)^L multiplied by 1/l(2L!) equals 0 and that m<L

basically take the integral of x^m multiplied by Rodrigues' formula and prove that it equals zero when m<L

Hint: integrate repeatedly by parts, differentiating the power of x and integrating the derivative each time
 
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