论文信息 - Asymptotics of Sobolev Orthogonal Polynomials for Coherent Pairs of Measures

Asymptotics of Sobolev Orthogonal Polynomials for Coherent Pairs of Measures

Strong asymptotics for the sequence of monic polynomialsQn(z), orthogonal with respect to the inner product(f, g)S=?f(x)g(x)d?1(x)+?? f?(x)g?(x)d?2(x),?>0,withzoutside of the support of the measure?2, is established under the additional assumption that?1and?2form a so-called coherent pair with compact support. Moreover, the asymptotic behaviour of the (square of) the norm (Qn, Qn)Sand of the zeros ofQnis obtained.

A. Martínez-Finkelshtein | M. Piñar | T. Pérez | J. J. Moreno–Balcázar

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