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Vector valued Jack polynomials associated to the symmetric group
SN are polynomials with multiplicities in an irreducible module of SN and which are simultaneous eigenfunctions of the Cherednik-Dunkl...
The idea of orthogonal polynomials is well established and has many appli-cations. For any commutative moments {Si}.
Arguments of zeros of highly log concave polynomials
Arguments of zeros highly log concave polynomials
2010/12/14
For a real polynomial p =Pn i=0 cixi with no negative coefficients and n ≥ 6, let β(p) = infn−1 i=1 c2i /ci+1ci−1 (so β(p) ≥ 1 entails that p is log concave). If β(p) > 1.45 . . . , then a...