《American Mathematical Society Colloquium Publications Volume XXIII Orthogonal Polynomials》
作者 | 编者 |
---|---|
出版 | 未查询到或未知 |
参考页数 | 400 |
出版时间 | 1939(求助前请核对) 目录预览 |
ISBN号 | 无 — 求助条款 |
PDF编号 | 812580898(仅供预览,未存储实际文件) |
求助格式 | 扫描PDF(若分多册发行,每次仅能受理1册) |

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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