CHAPTER Ⅰ．PRELIMINARIES 1
CHAPTER Ⅱ．DEFINITION OF ORTHOGONAL POLYNOMIALS；PRINCIPAL EXAMPLES 22
CHAPTER Ⅲ．GENERAL PROPERTIES OF ORTHOGONAL POLYNOMIALS 37
CHAPTER Ⅳ．JACOBI POLYNOMIALS 57
CHAPTER Ⅴ．LAGUERRE AND HERMITE POLYNOMIALS 96
CHAPTER Ⅵ．ZEROS OF ORTHOGONAL POLYNOMIALS 107
CHAPTER Ⅶ．INEQUALITIES 154
CHAPTER Ⅷ．ASYMPTOTIC PROPERTIES OF THE CLASSICAL POLYNOMIALS 185
CHAPTER Ⅸ．EXPANSION PROBLEMS ASSOCIATED WITH THE CLASSICAL POLYNOMIALS 237
CHAPTER Ⅹ．REPRESENTATION OF POSITIVE FUNCTIONS 267
CHAPTER Ⅺ．POLYNOMIALS ORTHOGONAL ON THE UNIT CIRCLE 280
CHAPTER Ⅻ．ASYMPTOTIC PROPERTIES OF GENERAL ORTHOGONAL POLYNOMIALS 289
CHAPTER ⅩⅢ．EXPANSION PROBLEMS ASSOCIATED WITH GENERAL ORTHOGONAL POLYNOMIALS 306
CHAPTER ⅩⅣ．IN ERPOLATION 322
CHAPTER ⅩⅤ．MECHANICAL QUADRATURE 340
CHAPTER ⅩⅥ．POLYNOMIALS ORTHOGONAL ON AN ARBITRARY CURVE 355
PROBLEMS AND EXERCISES 368
LIST OF REFERENCES 378
INDEX 395