| A Formula of General Solution for a Class of Homogeneous Trinomial Recurrence of Variable Coefficients with Two Indices |
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| 作者姓名： | YU Dan YU Chang-an |
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| 作者单位： | [1]School of Computer, Wuhan University, Wuhan 430072, Hubei, China [2]School of Mathematics and Statistics, Wuhan University, Wuhan 430072, Hubei, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China （10071059） |
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| 摘 要： | 0Introduction Asweknow,thesuccessofsolvinganylinearhomogeneousrecurrencerelationwithconstantcoefficientsdependsonfindingtherootsofthecharacteristicequation,andthismaynotalwaysbepossible1].Oncetherootsareknown,inordertosatisfytheinitialvaluesitisnecessary…
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| 关 键 词： | 同类三项式循环 变量系数 指数 解答公式 |
| 文章编号： | 1007-1202（2005）05-0828-05 |
| 收稿时间： | 2004-10-05 |
A formula of general solution for a class of homogeneous trinomial recurrence of variable coefficients with two indices |
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| YU Dan YU Chang-an.A Formula of General Solution for a Class of Homogeneous Trinomial Recurrence of Variable Coefficients with Two Indices[J].Wuhan University Journal of Natural Sciences,2005,10(5):828-832. |
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| Authors: | Yu Dan Yu Chang-an |
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| Institution: | (1) School of Computer, Wuhan University, 430072 Wuhan, Hubei, China;(2) School of Mathematics and Statistics, Wuhan University, 430072 Wuhan, Hubei, China |
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| Abstract: | In practice, it is very difficult to find the solution of recurrence relation by using the characteristic roots. By applying iteration and induction we present an explicit formula of general solution for a class of homogeneous trinomial recurrence of variable coefficients with two indices. It provides a concrete and applicable model to solve the relevant problem with computer. |
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| Keywords: | a formula of general solution homogeneous trinomial recurrence variable coefficients two indices |
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