Asymptotic Expansions of Zeros for Krawtchouk Polynomials With Error Bounds

ZHU Xiao-feng; LI Xiu-chun

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Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(12): 1424-1430

ZHU Xiao-feng, LI Xiu-chun. Asymptotic Expansions of Zeros for Krawtchouk Polynomials With Error Bounds[J]. Applied Mathematics and Mechanics, 2006, 27(12): 1424-1430.

Citation:

ZHU Xiao-feng, LI Xiu-chun. Asymptotic Expansions of Zeros for Krawtchouk Polynomials With Error Bounds[J]. Applied Mathematics and Mechanics, 2006, 27(12): 1424-1430.

Citation:

ZHU Xiao-feng, LI Xiu-chun. Asymptotic Expansions of Zeros for Krawtchouk Polynomials With Error Bounds[J]. Applied Mathematics and Mechanics, 2006, 27(12): 1424-1430.

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Asymptotic Expansions of Zeros for Krawtchouk Polynomials With Error Bounds

Department of Basic Science, Beijing Institute of Graphic Communication, Beijing 102600, P. R. China

Received Date: 2005-03-10
Rev Recd Date: 2006-04-17
Publish Date: 2006-12-15

Abstract

Abstract

Krawtchouk polynomials are frequently applied in modern physics. Based on the results which were educed by Li and Wong, the asymptotic expansions of Krawtchouk polynomials were improved by using Airy function, and the uniform asymptotic expansions were got. Furthermore, the asymptotic expansions of the zeros for Krawt chouk polynomials were again deduced by using the property of the zeros of Airy function, and their corresponding error bounds were discussed. The obtained results give the asymptotic property of Krawtchouk polynomials with their zeros, which are better than the results educed by Li and Wong.
- Krawtchouk polynomial,
- asymptotic expansion,
- zero,
- error bounds

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References(8)

References

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