Show that the functions Lk n(x) are orthogonal on (0,) with respect to the weight
Chapter 12, Problem 24(choose chapter or problem)
Show that the functions Lk n(x) are orthogonal on (0,) with respect to the weight function xkex. Hint: Write the differential equation (22.26) as xkex d dx(xk+1exy ) + ny = 0 and see Sections 7 and 19.
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