Geodesic
Polynomials orthogonal with sign-sensitive weight
Matematičeskie zametki, Tome 59 (1996) no. 5, pp. 737-752 
A. K. Ramazanov. Polynomials orthogonal with sign-sensitive weight. Matematičeskie zametki, Tome 59 (1996) no. 5, pp. 737-752. http://geodesic.mathdoc.fr/item/MZM_1996_59_5_a9/
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     author = {A. K. Ramazanov},
     title = {Polynomials orthogonal with sign-sensitive weight},
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     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1996_59_5_a9/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We introduce the notion of inner product with sign-sensitive weight and construct systems of nonsymmetrically orthonormalized polynomials. We also study some properties of such polynomials (for example, the properties of Fourier coefficients, quadrature formulas of Gauss type, etc.).

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