Pierre Asselin (firstname.lastname@example.org) wrote: : email@example.com (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.
-- --Jake _ Jake Kesinger (firstname.lastname@example.org), Outrageous Liar LUBBOCK -> _|*~- http://www.math.ttu.edu/~kesinger/ \, _} ``Although we have no quarrel with you, we *are* Samurai and \( *will* give you what for.'' Miaowara Shimura. (Mark Rogers)