| A Formula of Solution for a Class of Linear Recurence with Two Indices |
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| 作者姓名： | YU Changan |
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| 作者单位： | School of Mathematics and Statistics, Wuhan University,Wuhan 430072, Hubei, China |
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| 基金项目： | 国家高技术研究发展计划(863计划) |
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| 摘 要： | 0 IntroductionAsou sw er ekcnuorrwen,cteh er esluatcicoenss d oefp esonldvsin ognt hfiendliinnega rt hheo rmooogtesn eo-fthe characteristic equation1]. However it is very difficult ,ifnot i mpossible.Accordingtothe basic principle of soluting al-gebraic equation,we give theformula of solutionfor a class oflinear recurrence relations withtwoindices by usingthe meth-ods ofiterationandinduction2]inthis paper .Thusit providesa concrete and applicable model to solve the relevant problemsby comput…
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| 关 键 词： | 齐次递推关系 双解析指数 递推关系 组合分析 |
| 文章编号： | 1007-1202（2006）03-0465-04 |
| 收稿时间： | 2005-05-20 |
A formula of solution for a class of linear recurence with two indices |
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| YU Changan.A Formula of Solution for a Class of Linear Recurence with Two Indices[J].Wuhan University Journal of Natural Sciences,2006,11(3):465-468. |
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| Authors: | Yu Changan |
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| Institution: | (1) School of Mathematics and Statistics, Wuhan University, 430072 Wuhan Hubei, China |
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| Abstract: | It is very difficult, sometimes impossible, to get a formula solution of recurrence relation, even for the case of homogeneous recurrence with one indite. In this paper, according to the principle of soluting algebraic equation, we present the formula of solution for a class of recurrnce relations with two indices by appling iteration and induction. It provides a concrete model to solve the concerning problems with modern computing tools. |
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| Keywords: | two indices homogeneous recurrence relation formula of general solution |
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