AbstractIt is well-known that the roots of any two orthogonal polynomials are distributed equally if the weights satisfy the Szegő condition. In this paper, we propose a general equidistribution theorem that does not use the Szegő condition and admits an elementary proof
20 pages, no figures.-- MSC2000 code: 42C05.MR#: MR1847402 (2002h:42049)Zbl#: Zbl 1034.42022Given an...
20 pages, no figures.-- MSC2000 code: 42C05.MR#: MR1847402 (2002h:42049)Zbl#: Zbl 1034.42022Given an...
Abstract The q− difference analog of the classical ladder operators is derived for those orthogonal ...
AbstractWe strengthen a theorem of Kuijlaars and Serra Capizzano on the distribution of zeros of a s...
We study the Case sum rules, especially C_0, for general Jacobi matrices. We establish situations wh...
We provide necessary and sufficient conditions for a Jacobi matrix to produce orthogonal polynomials...
We provide necessary and sufficient conditions for a Jacobi matrix to produce orthogonal polynomials...
11 pages, no figures.-- MSC2000 codes: 42C05, 41A21.MR#: MR1858277 (2002h:42043)Zbl#: Zbl 1009.42016...
AbstractWe express the eigenvalues of a pentadiagonal symmetric Toeplitz matrix as the zeros of expl...
11 pages, no figures.-- MSC2000 codes: 42C05, 41A21.MR#: MR1858277 (2002h:42043)Zbl#: Zbl 1009.42016...
11 pages, no figures.-- MSC2000 codes: 42C05, 41A21.MR#: MR1858277 (2002h:42043)Zbl#: Zbl 1009.42016...
AbstractWe relate asymptotics of Jacobi parameters to asymptotics of the spectral weights near the e...
AbstractThe paper considers the mutual relationship of oscillations of the Bernstein–Szegö orthogona...
We consider multiple orthogonal polynomials associated with the exponential cubic weight e^{−x^3} ov...
20 pages, no figures.-- MSC2000 code: 42C05.MR#: MR1847402 (2002h:42049)Zbl#: Zbl 1034.42022Given an...
20 pages, no figures.-- MSC2000 code: 42C05.MR#: MR1847402 (2002h:42049)Zbl#: Zbl 1034.42022Given an...
20 pages, no figures.-- MSC2000 code: 42C05.MR#: MR1847402 (2002h:42049)Zbl#: Zbl 1034.42022Given an...
Abstract The q− difference analog of the classical ladder operators is derived for those orthogonal ...
AbstractWe strengthen a theorem of Kuijlaars and Serra Capizzano on the distribution of zeros of a s...
We study the Case sum rules, especially C_0, for general Jacobi matrices. We establish situations wh...
We provide necessary and sufficient conditions for a Jacobi matrix to produce orthogonal polynomials...
We provide necessary and sufficient conditions for a Jacobi matrix to produce orthogonal polynomials...
11 pages, no figures.-- MSC2000 codes: 42C05, 41A21.MR#: MR1858277 (2002h:42043)Zbl#: Zbl 1009.42016...
AbstractWe express the eigenvalues of a pentadiagonal symmetric Toeplitz matrix as the zeros of expl...
11 pages, no figures.-- MSC2000 codes: 42C05, 41A21.MR#: MR1858277 (2002h:42043)Zbl#: Zbl 1009.42016...
11 pages, no figures.-- MSC2000 codes: 42C05, 41A21.MR#: MR1858277 (2002h:42043)Zbl#: Zbl 1009.42016...
AbstractWe relate asymptotics of Jacobi parameters to asymptotics of the spectral weights near the e...
AbstractThe paper considers the mutual relationship of oscillations of the Bernstein–Szegö orthogona...
We consider multiple orthogonal polynomials associated with the exponential cubic weight e^{−x^3} ov...
20 pages, no figures.-- MSC2000 code: 42C05.MR#: MR1847402 (2002h:42049)Zbl#: Zbl 1034.42022Given an...
20 pages, no figures.-- MSC2000 code: 42C05.MR#: MR1847402 (2002h:42049)Zbl#: Zbl 1034.42022Given an...
20 pages, no figures.-- MSC2000 code: 42C05.MR#: MR1847402 (2002h:42049)Zbl#: Zbl 1034.42022Given an...
Abstract The q− difference analog of the classical ladder operators is derived for those orthogonal ...