| Softcover ISBN: | 978-0-8218-1023-1 |
| Product Code: | COLL/23 |
| List Price: | $99.00 |
| MAA Member Price: | $89.10 |
| AMS Member Price: | $79.20 |
| eBook ISBN: | 978-1-4704-3171-6 |
| Product Code: | COLL/23.E |
| List Price: | $89.00 |
| MAA Member Price: | $80.10 |
| AMS Member Price: | $71.20 |
| Softcover ISBN: | 978-0-8218-1023-1 |
| eBook: ISBN: | 978-1-4704-3171-6 |
| Product Code: | COLL/23.B |
| List Price: | $188.00 $143.50 |
| MAA Member Price: | $169.20 $129.15 |
| AMS Member Price: | $150.40 $114.80 |
| Softcover ISBN: | 978-0-8218-1023-1 |
| Product Code: | COLL/23 |
| List Price: | $99.00 |
| MAA Member Price: | $89.10 |
| AMS Member Price: | $79.20 |
| eBook ISBN: | 978-1-4704-3171-6 |
| Product Code: | COLL/23.E |
| List Price: | $89.00 |
| MAA Member Price: | $80.10 |
| AMS Member Price: | $71.20 |
| Softcover ISBN: | 978-0-8218-1023-1 |
| eBook ISBN: | 978-1-4704-3171-6 |
| Product Code: | COLL/23.B |
| List Price: | $188.00 $143.50 |
| MAA Member Price: | $169.20 $129.15 |
| AMS Member Price: | $150.40 $114.80 |
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Book DetailsColloquium PublicationsVolume: 23; 1939; 432 ppMSC: Primary 33
This first detailed systematic treatment of orthogonal polynomials continues as a bestseller in the Colloquium Series.
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Table of Contents
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Chapters
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Chapter 1. Preliminaries
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Chapter 2. Definition of orthogonal polynomials; principal examples
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Chapter 3. General properties of orthogonal polynomials
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Chapter 4. Jacobi polynomials
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Chapter 5. Laguerre and Hermite polynomials
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Chapter 6. Zeros of orthogonal polynomials
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Chapter 7. Inequalities
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Chapter 8. Asymptotic properties of the classical polynomials
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Chapter 9. Expansion problems associated with the classical polynomials
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Chapter 10. Representation of positive functions
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Chapter 11. Polynomials orthogonal on the unit circle
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Chapter 12. Asymptotic properties of general orthogonal polynomials
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Chapter 13. Expansion problems associated with general orthogonal polynomials
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Chapter 14. Interpolation
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Chapter 15. Mechanical quadrature
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Chapter 16. Polynomials orthogonal on an arbitrary curve
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Problems and exercises
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Further problems and exercises
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Appendix
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Reviews
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This is the first detailed systematic treatment of ... (a) the asymptotic behaviour of orthogonal polynomials, by various methods, with applications, in particular, to the ‘classical' polynomials of Legendre, Jacobi, Laguerre and Hermite; (b) a detailed study of expansions in series of orthogonal polynomials, regarding convergence and summability; (c) a detailed study of orthogonal polynomials in the complex domain; (d) a study of the zeros of orthogonal polynomials, particularly of the classical ones, based upon an extension of Sturm's theorem for differential equations. The book presents many new results; many results already known are presented in generalized or more precise form, with new simplified proofs.
Mathematical Reviews
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Reviews
- Requests
This first detailed systematic treatment of orthogonal polynomials continues as a bestseller in the Colloquium Series.
-
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
-
This is the first detailed systematic treatment of ... (a) the asymptotic behaviour of orthogonal polynomials, by various methods, with applications, in particular, to the ‘classical' polynomials of Legendre, Jacobi, Laguerre and Hermite; (b) a detailed study of expansions in series of orthogonal polynomials, regarding convergence and summability; (c) a detailed study of orthogonal polynomials in the complex domain; (d) a study of the zeros of orthogonal polynomials, particularly of the classical ones, based upon an extension of Sturm's theorem for differential equations. The book presents many new results; many results already known are presented in generalized or more precise form, with new simplified proofs.
Mathematical Reviews
