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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Symmetric orthogonal polynomials and the associated orthogonal $ L$-polynomials


Author: A. Sri Ranga
Journal: Proc. Amer. Math. Soc. 123 (1995), 3135-3141
MSC: Primary 42C05; Secondary 33C45
MathSciNet review: 1291791
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Abstract: We show how symmetric orthogonal polynomials can be linked to polynomials associated with certain orthogonal L-polynomials. We provide some examples to illustrate the results obtained. Finally as an application, we derive information regarding the orthogonal polynomials associated with the weight function $ (1 + k{x^2}) {(1 - {x^2})^{ - 1/2}},k > 0$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1291791-7
PII: S 0002-9939(1995)1291791-7
Keywords: Orthogonal polynomials, L-polynomials, recurrence relations
Article copyright: © Copyright 1995 American Mathematical Society