Difference between revisions of "Book:Gabor Szegő/Orthogonal Polynomials/Fourth Edition"
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− | {{Book|Orthogonal Polynomials| | + | {{Book|Orthogonal Polynomials (fourth edition)|1975|American Mathematical Society|0-8218-1023-5|Gabor Szegő}} |
+ | ===Contents=== | ||
+ | :PREFACE | ||
+ | :PREFACE TO THE REVISED EDITION | ||
+ | :PREFACE TO THE THIRD EDITION | ||
+ | :PREFACE TO THE FOURTH EDITION | ||
+ | :CHAPTER I. PRELIMINARIES | ||
+ | :CHAPTER II. DEFINITION OF ORTHOGONAL POLYNOMIALS; PRINCIPAL EXAMPLES | ||
+ | :CHAPTER III. GENERAL PROPERTIES OF ORTHOGONAL POLYNOMIALS | ||
+ | :CHAPTER IV. JACOBI POLYNOMIALS | ||
+ | :CHAPTER V. LAGUERRE AND HERMITE POLYNOMIALS | ||
+ | :CHAPTER VI. ZEROS OF ORTHOGONAL POLYNOMIALS | ||
+ | :CHAPTER VII. INEQUALITIES | ||
+ | :CHAPTER VIII. ASYMPTOTIC PROPERTIES OF THE CLASSICAL POLYNOMIALS | ||
+ | :CHAPTER IX. EXPANSION PROBLEMS ASSOCIATED WITH THE CLASSICAL POLYNOMIALS | ||
+ | :CHAPTER X. REPRESENTATION OF POSITIVE FUNCTIONS | ||
+ | :CHAPTER XI. POLYNOMIALS ORTHOGONAL ON THE UNIT CIRCLE | ||
+ | :CHAPTER XII. ASYMPTOTIC PROPERTIES OF GENERAL ORTHOGONAL POLYNOMIALS | ||
+ | :CHAPTER XIII. EXPANSION PROBLEMS ASSOCIATED WITH GENERAL ORTHOGONAL POLYNOMIALS | ||
+ | :CHAPTER XIV. INTERPOLATION | ||
+ | :CHAPTER XV. MECHANICAL QUADRATURE | ||
+ | :CHAPTER XVI. POLYNOMIALS ORTHOGONAL ON AN ARBITRARY CURVE | ||
+ | :PROBLEMS AND EXERCISES | ||
+ | :FURTHER PROBLEMS AND EXERCISES | ||
+ | :APPENDIX | ||
+ | :LIST OF REFERENCES | ||
+ | :FURTHER REFERENCES | ||
+ | :INDEX | ||
===Online versions=== | ===Online versions=== | ||
[https://people.math.osu.edu/nevai.1/SZEGO/szego=szego1975=ops=OCR.pdf hosted by The Ohio State University]<br /> | [https://people.math.osu.edu/nevai.1/SZEGO/szego=szego1975=ops=OCR.pdf hosted by The Ohio State University]<br /> | ||
[[Category:Books]] | [[Category:Books]] |
Revision as of 07:04, 5 June 2016
Gabor Szegő: Orthogonal Polynomials (fourth edition)
Published $1975$, American Mathematical Society
- ISBN 0-8218-1023-5.
Contents
- PREFACE
- PREFACE TO THE REVISED EDITION
- PREFACE TO THE THIRD EDITION
- PREFACE TO THE FOURTH EDITION
- CHAPTER I. PRELIMINARIES
- CHAPTER II. DEFINITION OF ORTHOGONAL POLYNOMIALS; PRINCIPAL EXAMPLES
- CHAPTER III. GENERAL PROPERTIES OF ORTHOGONAL POLYNOMIALS
- CHAPTER IV. JACOBI POLYNOMIALS
- CHAPTER V. LAGUERRE AND HERMITE POLYNOMIALS
- CHAPTER VI. ZEROS OF ORTHOGONAL POLYNOMIALS
- CHAPTER VII. INEQUALITIES
- CHAPTER VIII. ASYMPTOTIC PROPERTIES OF THE CLASSICAL POLYNOMIALS
- CHAPTER IX. EXPANSION PROBLEMS ASSOCIATED WITH THE CLASSICAL POLYNOMIALS
- CHAPTER X. REPRESENTATION OF POSITIVE FUNCTIONS
- CHAPTER XI. POLYNOMIALS ORTHOGONAL ON THE UNIT CIRCLE
- CHAPTER XII. ASYMPTOTIC PROPERTIES OF GENERAL ORTHOGONAL POLYNOMIALS
- CHAPTER XIII. EXPANSION PROBLEMS ASSOCIATED WITH GENERAL ORTHOGONAL POLYNOMIALS
- CHAPTER XIV. INTERPOLATION
- CHAPTER XV. MECHANICAL QUADRATURE
- CHAPTER XVI. POLYNOMIALS ORTHOGONAL ON AN ARBITRARY CURVE
- PROBLEMS AND EXERCISES
- FURTHER PROBLEMS AND EXERCISES
- APPENDIX
- LIST OF REFERENCES
- FURTHER REFERENCES
- INDEX