| ASYMPTOTIC EXPANSIONS OF ZEROS FOR KRAWTCHOUK POLYNOMIALS WITH ERROR BOUNDS |
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| 作者姓名： | 朱晓峰 李秀淳 |
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| 作者单位： | Department of Basic Science, Beijing Institute of Graphic Communication, Beijing 102600, P. R. China |
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| 基金项目： | Project supported by Scientific Research Common Program of Beijing Municipal Commission of Education of China （No.KM200310015060） |
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| 摘 要： | 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 are improved by using Airy function, and uniform asymptotic expansions are got. Furthermore, the asymptotic expansions of the zeros for Krawtchouk polynomials are again deduced by using the property of the zeros of Airy function, and their corresponding error bounds are 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.
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| 关 键 词： | 渐进扩张 函数 多项式 误差 |
| 收稿时间： | 2005-03-10 |
| 修稿时间： | 2006-04-17 |
Asymptotic expansions of zeros for Krawtchouk polynomials with error bounds |
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| Xiao-feng Zhu,Xiu-chun Li.ASYMPTOTIC EXPANSIONS OF ZEROS FOR KRAWTCHOUK POLYNOMIALS WITH ERROR BOUNDS[J].Applied Mathematics and Mechanics(English Edition),2006,27(12):1627-1633. |
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| Authors: | Xiao-feng Zhu Xiu-chun Li |
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| Institution: | Department of Basic Science, Beijing Institute of Graphic Communication,Beijing,102600, P. R. China |
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| 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 are improved by using Airy function, and uniform asymptotic expansions are got. Furthermore, the asymptotic expansions of the zeros for Krawtchouk polynomials are again deduced by using the property of the zeros of Airy function, and their corresponding error bounds axe 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. |
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| Keywords: | Krawtchouk polynomial asymptotic expansion zero error bounds |
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