American Mathematical Society Colloquium Publications Volume XXIII Orthogonal PolynomialsPDF电子书下载

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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

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