# Search results for: Andrei Martínez-Finkelshtein

Journal of Computational and Applied Mathematics > 2001 > 133 > 1-2 > 477-487

_{n}

^{(}

^{α}

^{n}

^{)}and generalized Bessel B

_{n}

^{(}

^{α}

^{n}

^{)}polynomials with the parameter α

_{n}varying in such a way that the limit of α

_{n}/n exists. Our approach is based on a non-hermitian orthogonality satisfied by these sequences of polynomials. In the cases that remain open we formulate the...

Journal of Computational and Applied Mathematics > 1998 > 99 > 1-2 > 491-510

Journal of Approximation Theory > 1998 > 92 > 2 > 280-293

_{n}(z), orthogonal with respect to the inner product(f, g)S=∫f(x)g(x)dμ1(x)+λ∫ f′(x)g′(x)dμ2(x),λ>0,withzoutside of the support of the measureμ

_{2}, is established under the additional assumption thatμ

_{1}andμ

_{2}form a so-called coherent pair with compact support. Moreover, the asymptotic behaviour of the (square...

Journal of Computational and Applied Mathematics > 1997 > 81 > 2 > 217-227

_{n}(x), orthogonal with respect to the inner product (f,g)s = ∫ f(x)g(x)dμ

_{1}(x) + λ ∫ f (x)g (x)dμ

_{2}(x), λ>0, with x outside of the support of the measure μ

_{2}. We assume that μ

_{1}and μ

_{2}are symmetric and compactly supported measures on R satisfying a coherence condition...

Journal of Computational and Applied Mathematics > 1997 > 81 > 2 > 211-216

^{1}

_{-}

_{1}f(x)g(x(1 - x

^{2})

^{α}

^{-}

^{1}

^{2}dx with α > - 12 and λ > 0. The asymptotics of the zeros and norms of these polynomials are also established.