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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Symmetric orthogonal polynomials and the associated orthogonal $L$-polynomials
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by A. Sri Ranga
Proc. Amer. Math. Soc. 123 (1995), 3135-3141
DOI: https://doi.org/10.1090/S0002-9939-1995-1291791-7

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 $(1 + k{x^2}) {(1 - {x^2})^{ - 1/2}},k > 0$.
References
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Bibliographic Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 3135-3141
  • MSC: Primary 42C05; Secondary 33C45
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1291791-7
  • MathSciNet review: 1291791