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Orthogonal Polynomials and Special FunctionsOrthogonal Polynomials and Special Functions

Richard Askey



CBMS-NSF Regional Conference Series in Applied Mathematics 21

Originally presented as lectures, the theme of this volume is that one studies orthogonal polynomials and special functions not for their own sake, but to be able to use them to solve problems. The author presents problems suggested by the isometric embedding of projective spaces in other projective spaces, by the desire to construct large classes of univalent functions, by applications to quadrature problems, and theorems on the location of zeros of trigonometric polynomials. There are also applications to combinatorial problems, statistics, and physical problems.

Contents

Classical Results for Trigonometric Polynomials and Fourier Series and Other Isolated Results; Jacobi Polynomial Series; Fractional Integrals and Hypergeometric Functions; Addition Formulas; Linearization of Products; Rational Functions with Positive Power Series Coefficients; Connection Coefficients; Positive Sums; More Positive Sums and Applications; Suggestions for Further Work.

1975 / vii + 110 pages / Softcover / ISBN-13: 978-0-898710-18-2 / ISBN-10: 0-89871-018-9 /
List Price $53.50 / SIAM/CBMS Member Price $37.45 / Order Code CB21
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