1) binary linear recurrence relation
二元线性递归关系
1.
Based on matrix representation of initial value problem of binary linear recurrence relation,calculation formula of second-order matrix square power is developed by means of variable constant method and solving formula of initial value problem of binary linear recurrence relation is provided.
从二元线性递归关系初值问题的矩阵表示出发,利用变动常数法建立了二阶矩阵方幂的计算公式,进而给出了二元线性递归关系初值问题的求解公式。
2) linear recurrence relation
线性递归关系
1.
A formula and asymptotic behavior are derived, and the linear recurrence relation with constant integer coefficients is given for its spanning trees.
本文考虑有向循环图C_n(s_1,s_2,…,s_k)的支撑树数,得到支撑树数的一个公式及其渐近性态,并给出常整系数线性递归关系式。
3) non-linear recurrence
非线性递归关系
4) fractional linear recursive relation
分式线性递归关系
1.
The conditions with periodic solution are discussed in detail relating to fractional linear recursive relation of first order and some useful conclusions are obtained.
对一阶分式线性递归关系具有周期解的条件进行了详细讨论,得到若干有用的结论;对二、三阶分式线性递归关系,分别列举了一个具有周期解的例子,并对解的周期性进行了验证。
6) recurrence relation
递归关系
1.
A new recurrence relation of the catalan number;
Catalan数的一个递归关系
2.
A general expression of Green s function in series with unknown coefficients in stratified media was provided firstly, and then those unknown coefficients were solved based on a technique by which a recurrence relation between layer and layer was developed using boundary condition and .
公式的推导是通过先给出分层结构中含待定系数无穷级数的格林函数通式 ,然后利用边界条件与源条件 ,得到层与层之间的递归关系进而求解这些系数 ,这样的解为分析屏蔽同轴圆柱分层介质结构提供了一种新的有效工
3.
In this article,we use iteration method to obtain the solution of some recurrence relations which contains two variables in combinatorial analysis,and the expression of multiple sums colulaling the solution of the recurrence relations has been proposed.
本文应用迭代法求解组合分析中一些二元递归关系,导出了得到它们的解的多重和算式。
补充资料：递归关系
递归关系
recursive relation
递归关系[reeur咖r创巨‘佣;pe叮pe。。。oe oTHooeowe] 关系(rehtion)R三N”，其中N是自然数集，使得在N”上由条件.厂(二1，…，二。)一{‘，女口果<、.，…，二>‘。， to，女口果(x、，…，x。>砖R定义的函数.f是一个递归函数(recurs阮丘川ction).特别是，对于任何”，全关系N”和零关系势都是递归关系.如果R和S是n元递归关系，则关系尺Us，尺自s，尺“=Nn\R，尺\S也是递归关系.关于运算口，门，〔’，所有n元递归关系的系统构成一个Boo】e代数(R刀kana」gebm). B.E.fl几HcKo撰杜小杨译
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