A uniform asymptotic expansion for Krawtchouk polynomials (Q1587651)
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scientific article; zbMATH DE number 1538249
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A uniform asymptotic expansion for Krawtchouk polynomials |
scientific article; zbMATH DE number 1538249 |
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A uniform asymptotic expansion for Krawtchouk polynomials (English)
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17 June 2001
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The Krawtchouk polynomials are considered for large values of the degree \(n\). A uniform asymptotic expansion is derived, involving parabolic cylinder functions as main approximants. The expansion holds uniformly in certain domains of the parameters. The method is based on contour integrals for the polynomials and the saddle point method.
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Krawtchouk polynomials
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uniform asymptotic expansion
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parabolic cylinder function
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saddle point method
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