| Cauchy多项式与高阶Cauchy多项式 |
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| 引用本文： | 高泽图.Cauchy多项式与高阶Cauchy多项式[J].海南大学学报(自然科学版),2006,24(3):217-221. |
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| 作者姓名： | 高泽图 |
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| 作者单位： | 海南大学,信息科学技术学院,海南,海口,570228 |
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| 摘 要： | 给出了Cauchy多项式与高阶Cauchy多项式及高阶Cauchy数的定义,导出了它们的生成函数,利用第2类Stirling数得到了它们的递推公式,获得它们与高阶Bernou lli多项式、高阶退化Bernou lli多项式的关系式.
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| 关 键 词： | Cauchy多项式 高阶Cauchy多项式 高阶Cauchy数 生成函数 |
| 文章编号： | 1004-1729(2006)03-0217-05 |
| 修稿时间： | 2005年12月23 |
Cauchy Polynomials and Higher Order Cauchy Polynomials |
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| GAO ZE-tu.Cauchy Polynomials and Higher Order Cauchy Polynomials[J].Natural Science Journal of Hainan University,2006,24(3):217-221. |
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| Authors: | GAO ZE-tu |
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| Abstract: | Cauchy Polynomials,higher order Cauchy Polynomials,and higher order Cauchy numbers were defined first;second,their generating functions were obtained;third,their recursion formulas are obtained using the second kind Stirling numbers;finally,the mathematical relationship between higher order Cauchy Polynomials and Higher order Bernoulli Polynomials and higher order Cauchy Polynomials and higher order degenerate Bernoulli polynomials were gained. |
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| Keywords: | Cauchy polynomials higher order Cauchy polynomials higher order Cauchy numbers generating function |
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