Some properties of orthogonal polynomials
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- by D. B. Hunter PDF
- Math. Comp. 29 (1975), 559-565 Request permission
Abstract:
Some results are obtained concerning the signs of the coefficients in the expansions in powers of ${x^{ - 1}},{(1 + x)^{ - 1}}$ or ${(1 - x)^{ - 1}}$ of $1/{p_n}(x)$ and ${q_n}(x)$, where ${p_n}(x)$ is the polynomial of degree n in the orthogonal sequence associated with a given weight-function $w(x)$ over $( - 1,1)$ and ${q_n}(x) = \smallint _{ - 1}^1w(t){p_n}(t){(x - t)^{ - 1}}dt$.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Math. Comp. 29 (1975), 559-565
- MSC: Primary 42A52
- DOI: https://doi.org/10.1090/S0025-5718-1975-0374792-8
- MathSciNet review: 0374792