Pierre Asselin (email@example.com) wrote: : firstname.lastname@example.org (Jake Kesinger) writes: : ?? Everything is there. What's the problem? Are you looking for : *proofs* of your assertions (1-5)? You could look at Szego's book, : "Orthogonal Polynomials" (1975). That's more or less it. I know this method works, but I have been unable to prove why. : Chapter 22 of Abramowitz and Stegun has asymptotic formulas for the : zeros of orthogonal polynomials that could be used as starting points : for Newton's method. (The P'_n are Jacobi polynomials, I believe.) : Still, that's playing with fire.
Thanks, I'll look this up.
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