Book:Gabor Szegő/Orthogonal Polynomials/Fourth Edition

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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

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