| 一类递归方程的解 |
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| 引用本文： | 初文昌. 一类递归方程的解[J]. 大连理工大学学报, 1986, 0(Z1) |
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| 作者姓名： | 初文昌 |
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| 作者单位： | 大连工学院应用数学研究所 |
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| 摘 要： | 本文研究一类递归方程的求解问题，利用形式幂级数方法得到了解序列的赘余母函 数。这一结论包含Ｎａｒａｙａｎａ，Ｒｏｈａｔｇｉ和Ｃａｒｌｉｔｚ的新近结果作为特例。作为应用，文中 证明了几个关于二项系数的组合恒等式。
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| 关 键 词： | 二项式系数 形式幂级数 齐次函数 多项式系数 赘余母函数 |
Solutions of Certain Recurrence Relations |
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| Chu Wenchang. Solutions of Certain Recurrence Relations[J]. Journal of Dalian University of Technology, 1986, 0(Z1) |
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| Authors: | Chu Wenchang |
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| Abstract: | This paper investigates a class of recurrence relations. y using the method of power series, the author has obtained the redundant generating function of solution sequ-ence. It includes some results of Narayana, Rohatgi and Carlitz as its special cases. As applications, some combinatory identifies have been proved. |
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| Keywords: | binomial coefficient formal power series homogeneous function multin- omial coefficient redundant generating function. |
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