| 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. -
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
-
-
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
-
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
