Determinant inequalities for sieved ultraspherical polynomials
Paul Turan first observed that the Legendre polynomials satisfy the inequality Pn2(x)−Pn−1(x)Pn(x)>0, −1<x<1. Inequalities of this type have since been proved for both classical and nonclassical orthogonal polynomials. In this paper, we prove such an inequality for sieved orthogonal polynom...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201004896 |
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| Summary: | Paul Turan first observed that the Legendre polynomials satisfy
the inequality Pn2(x)−Pn−1(x)Pn(x)>0, −1<x<1. Inequalities of this type have since been proved for both
classical and nonclassical orthogonal polynomials. In this
paper, we prove such an inequality for sieved orthogonal
polynomials of the second kind. |
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| ISSN: | 0161-1712 1687-0425 |