On linear combinations of L-orthogonal polynomials associated with distributions belonging to symmetric classes
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Elsevier B.V.
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Resumo
This paper deals with the classes S-3(omega, beta, b) of strong distribution functions defined on the interval [beta(2)/b, b], 0 < beta < b <= infinity, where 2 omega epsilon Z. The classification is such that the distribution function psi epsilon S-3(omega, beta, b) has a (reciprocal) symmetry, depending on omega, about the point beta. We consider properties of the L-orthogonal polynomials associated with psi epsilon S-3(omega, beta, b). Through linear combination of these polynomials we relate them to the L-orthogonal polynomials associated with some omega epsilon S-3(1/2, beta, b). (c) 2004 Elsevier B.V. All rights reserved.
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L-orthogonal polynomials, symmetric distribution functions, Three term recurrence relations
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Inglês
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Journal of Computational and Applied Mathematics. Amsterdam: Elsevier B.V., v. 179, n. 1-2, p. 15-29, 2005.
