| 拉格朗日展开定理的两个基本应用 |
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| 引用本文： | 黄建峰,马欣荣.拉格朗日展开定理的两个基本应用[J].数学研究及应用,2015,35(3):263-270. |
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| 作者姓名： | 黄建峰 马欣荣 |
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| 作者单位： | 南通大学理学院, 江苏 南通 226019;苏州大学数学科学学院, 江苏 苏州 215006 |
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| 基金项目： | 国家自然科学基金 (Grant Nos.11071183; 11471237). |
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| 摘 要： | The present paper offers two likely neglected applications of the classical Lagrange expansion formula.One is a unified approach to some age-old derivative identities originally due to Pfaff and Cauchy.Another is two explicit matrix inversions which may serve as common generalizations of some known inverse series relations.
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| 关 键 词： | matrix inversion Lagrange-B¨urmann expansion formula derivative identities Pfaff Cauchy Leibniz product rule |
| 收稿时间： | 2014/9/18 0:00:00 |
| 修稿时间： | 2014/11/22 0:00:00 |
Two Elementary Applications of the Lagrange Expansion Formula |
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| Jianfeng HUANG and Xinrong MA.Two Elementary Applications of the Lagrange Expansion Formula[J].Journal of Mathematical Research with Applications,2015,35(3):263-270. |
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| Authors: | Jianfeng HUANG and Xinrong MA |
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| Institution: | School of Science, Nantong University, Jiangsu 226019, P. R. China;Department of Mathematics, Soochow University, Jiangsu 215006, P. R. China |
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| Abstract: | The present paper offers two likely neglected applications of the classical Lagrange expansion formula. One is a unified approach to some age-old derivative identities originally due to Pfaff and Cauchy. Another is two explicit matrix inversions which may serve as common generalizations of some known inverse series relations. |
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| Keywords: | matrix inversion Lagrange-B\"{u}rmann expansion formula derivative identities Pfaff Cauchy Leibniz product rule |
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