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Orthogonal Polynomials and Special Functions

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Author(s): Richard Askey
Publisher: SIAM
Year: 1975

Language: English
Pages: 112

Title page......Page 1
Preface......Page 5
1: CLASSICAL RESULTS FOR TRIGONOMETRIC POLYNOMIALS AND FOURIER SERIES AND OTHER ISOLATED RESULTS......Page 8
2: JACOBI POLYNOMIAL SERIES......Page 14
3: FRACTIONAL INTEGRALS AND HYPERGEOMETRIC FUNCTI0NS......Page 26
4: ADDITION FORMULAS......Page 35
5: LINEARIZATION OF PRODUCTS......Page 45
6: RATIONAL FUNCTIONS WITH POSITIVE POWER SERIES COEFFICIENTS......Page 53
7: CONNECTION COEFFICIENTS......Page 63
8: POSITIVE SUMS......Page 76
9: MORE POSITIVE SUMS AND APPLICATIONS......Page 87
10: SUGGESTIONS FOR FURTHER WORK......Page 96