《American Mathematical Society Colloquium Publications Volume XXIII Orthogonal Polynomials》求取 ⇩

CHAPTER Ⅰ.PRELIMINARIES1

CHAPTER Ⅱ.DEFINITION OF ORTHOGONAL POLYNOMIALS;PRINCIPAL EXAMPLES22

CHAPTER Ⅲ.GENERAL PROPERTIES OF ORTHOGONAL POLYNOMIALS37

CHAPTER Ⅳ.JACOBI POLYNOMIALS57

CHAPTER Ⅴ.LAGUERRE AND HERMITE POLYNOMIALS96

CHAPTER Ⅵ.ZEROS OF ORTHOGONAL POLYNOMIALS107

CHAPTER Ⅶ.INEQUALITIES154

CHAPTER Ⅷ.ASYMPTOTIC PROPERTIES OF THE CLASSICAL POLYNOMIALS185

CHAPTER Ⅸ.EXPANSION PROBLEMS ASSOCIATED WITH THE CLASSICAL POLYNOMIALS237

CHAPTER Ⅹ.REPRESENTATION OF POSITIVE FUNCTIONS267

CHAPTER Ⅺ.POLYNOMIALS ORTHOGONAL ON THE UNIT CIRCLE280

CHAPTER Ⅻ.ASYMPTOTIC PROPERTIES OF GENERAL ORTHOGONAL POLYNOMIALS289

CHAPTER ⅩⅢ.EXPANSION PROBLEMS ASSOCIATED WITH GENERAL ORTHOGONAL POLYNOMIALS306

CHAPTER ⅩⅣ.IN ERPOLATION322

CHAPTER ⅩⅤ.MECHANICAL QUADRATURE340

CHAPTER ⅩⅥ.POLYNOMIALS ORTHOGONAL ON AN ARBITRARY CURVE355

PROBLEMS AND EXERCISES368

LIST OF REFERENCES378

INDEX395

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