Asymptotic properties of generalized Laguerre orthogonal polynomials. (Q1890420)
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scientific article; zbMATH DE number 2124636
| Language | Label | Description | Also known as |
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| English | Asymptotic properties of generalized Laguerre orthogonal polynomials. |
scientific article; zbMATH DE number 2124636 |
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Asymptotic properties of generalized Laguerre orthogonal polynomials. (English)
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3 January 2005
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The Laguerre polynomials considered in this paper are orthogonal with respect to a Sobolev inner product. New asymptotic properties of these polynomials are given, together with a limit relation between the zeros of the polynomials and the zeros of a Bessel function. The results are obtained by writing the generalized polynomials as a sum of three classical Laguerre polynomials. Numerical examples illustrate the approximations of the zeros.
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Laguerre polynomials
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generalized Laguerre polynomials
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asymptotic estimates
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