乘积型常系数递推关系的若干研究  

On the Product Type Recurrence Relations with Constant Coefficients

作　　者：张上伟[1] 吴康[1] 

机构地区：[1]华南师范大学数学科学学院,广东广州510631

出　　处：《河南教育学院学报（自然科学版）》2012年第4期14-17,共4页Journal of Henan Institute of Education(Natural Science Edition)

摘　　要：研究乘积型常系数递推关系的相关性质.分别在{a_n}为正实数列,p_1,p_2,…,P_k为实数以及{a_n}为复数列,p_1,p_2,…,p_k为整数这两种情况下研究乘积型常系数齐次递推关系的相关性质及数列{a_n}通项公式的求法.定义乘积型斐波那契数列,得到相应的性质和定理.Abstract： Under two numbers, The related characterization of produ circumstance, and the other is one of which is when when {αn} is complex type recurrence relations with constant coefficients is investigated {αn} is a sequence of positive real numbers, P1 ,P2,… ,Pk are real sequences, P1 ,P2 ,… ,Pk are integers, the related characterizations and the way to work out the general term formula of {αn} are discussed. Besides, the research defines type Fibonacci sequence and generates some related characterization. producttype Fibonacci sequence and generates some related characterization.

关 键 词：乘积型常系数递推关系 正实数列 复数列 乘积型斐波那契数列 

分 类 号：O174.5[理学—数学]