Characterization of orthogonal polynomials with respect to a functional
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Publication:1917951
DOI10.1016/0377-0427(95)00125-5zbMath0853.42023OpenAlexW2070639831MaRDI QIDQ1917951
Franz Peherstorfer, Robert Steinbauer
Publication date: 6 January 1997
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0377-0427(95)00125-5
orthogonal polynomialsHermitian inner productnondefinite functionalsorthogonal polynomials of the second kind
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)
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Cites Work
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- Systems of orthogonal polynomials explicitly represented by Jacobi polynomials
- Laurent series and their Padé approximations
- On sieved orthogonal polynomials. IX: Orthogonality on the unit circle
- Formally biorthogonal polynomials and a look-ahead Levinson algorithm for general Toeplitz systems
- Stable row recurrences for the Padé table and generically superfast lookahead solvers for non-Hermitian Toeplitz systems
- Polynômes orthogonaux formels - applications
- Orthogonal polynomials on arcs of the unit circle. I
- Orthogonal polynomials on arcs of the unit circle. II: Orthogonal polynomials with periodic reflection coefficients
- Orthogonal polynomials on the unit circle: Symmetrization and quadratic decomposition
- Generalized Functions and Orthogonal Polynomials on the Unit Circle
- Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
- The Padé Table and Its Relation to Certain Algorithms of Numerical Analysis
