Extensions of Szegö's theory of orthogonal polynomials. II
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Publication:1097450
DOI10.1007/BF01890553zbMath0635.42023OpenAlexW4234104450MaRDI QIDQ1097450
Attila Máté, Vilmos Totik, Paul G. Nevai
Publication date: 1987
Published in: Constructive Approximation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01890553
Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Asymptotics for the ratio of leading coefficients of orthonormal polynomials on the unit circle
- Necessary conditions for weighted mean convergence of Fourier series in orthogonal polynomials
- Géza Freud, orthogonal polynomials and Christoffel functions. A case study
- Extensions of Szegö's theory of orthogonal polynomials. III
- Remarks on E. A. Rahmanov's paper On the asymptotics of the ratio of orthogonal polynomials
- A class of orthogonal polynomials
- Recurrence relations, continued fractions, and orthogonal polynomials
- ON THE ASYMPTOTICS OF THE RATIO OF ORTHOGONAL POLYNOMIALS. II
- A New Class of Orthogonal Polynomials
- Oscillatory Behavior of Orthogonal Polynomials
- ON THE ASYMPTOTICS OF THE RATIO OF ORTHOGONAL POLYNOMIALS
- Orthogonal polynomials
- Distribution of Zeros of Orthogonal Polynomials
- On Certain Special Sets of Orthogonal Polynomials
- On orthogonal polynomials
