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Orthogonal Polynomials

About this Title

G. Szegő

Publication: Colloquium Publications
Publication Year: 1939; Volume 23
ISBNs: 978-0-8218-1023-1 (print); 978-1-4704-3171-6 (online)
DOI: https://doi.org/10.1090/coll/023
MathSciNet review: MR0106295

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Table of Contents

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Front/Back Matter

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Chapters

• Chapter 1. Preliminaries
• Chapter 2. Definition of orthogonal polynomials; principal examples
• Chapter 3. General properties of orthogonal polynomials
• Chapter 4. Jacobi polynomials
• Chapter 5. Laguerre and Hermite polynomials
• Chapter 6. Zeros of orthogonal polynomials
• Chapter 7. Inequalities
• Chapter 8. Asymptotic properties of the classical polynomials
• Chapter 9. Expansion problems associated with the classical polynomials
• Chapter 10. Representation of positive functions
• Chapter 11. Polynomials orthogonal on the unit circle
• Chapter 12. Asymptotic properties of general orthogonal polynomials
• Chapter 13. Expansion problems associated with general orthogonal polynomials
• Chapter 14. Interpolation
• Chapter 15. Mechanical quadrature
• Chapter 16. Polynomials orthogonal on an arbitrary curve
• Problems and exercises
• Further problems and exercises
• Appendix