Some properties of orthogonal polynomials

Author:
D. B. Hunter

Journal:
Math. Comp. **29** (1975), 559-565

MSC:
Primary 42A52

DOI:
https://doi.org/10.1090/S0025-5718-1975-0374792-8

MathSciNet review:
0374792

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Abstract | References | Similar Articles | Additional Information

Abstract: Some results are obtained concerning the signs of the coefficients in the expansions in powers of or of and , where is the polynomial of degree *n* in the orthogonal sequence associated with a given weight-function over and .

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1975-0374792-8

Keywords:
Orthogonal polynomials,
weight-function,
power-series,
Jacobi polynomials,
Gaussian quadrature

Article copyright:
© Copyright 1975
American Mathematical Society