Let us define the basis of polynomials given by:
P_0=1, P_1=x, P_2=x(x-1), P_3=x(x-1)(x-2), P_4=x(x-1)(x-2)(x-3),...
I would like to know if this basis is orthogonal with respect to some measure. Thank you very much!
Orthogonal basis of polynomials?
fernando
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