关于Horadam 2-参数广义混合数列的探讨  

A Study on Horadam 2-Parameter Generalized Hybrid Sequence

作　　者：张超 邓勇 ZHANG Chao;DENG Yong(College of Mathematics and Statistics,Kashi University,Kashi 844000,Xinjiang,China)

机构地区：[1]喀什大学数学与统计学院,新疆喀什844000

出　　处：《喀什大学学报》2024年第6期18-22,共5页Journal of Kashi University

摘　　要：为了推广Horadam混合数列,引入了Horadam 2-参数广义混合数列的概念,并在此基础上探讨了Hora⁃dam 2-参数广义混合数列的组合性质,包括其生成函数、Binet公式、求和公式以及一些重要的恒等式.此外,还给出了Horadam 2-参数广义混合数列的矩阵表示及其应用实例.In order to further generalize the Horadam hybrid sequence,this paper introduces the concept of Horadam 2-parameter generalized hybrid sequence.Based on this,the combinatorial properties of the Horadam 2-parameter generalized hybrid sequence are explored,including its generating function,Binet formula,summation formula,and some important combination identities.In addition,the matrix representation and an application of the Horadam 2-parameter generalized hybrid sequence are also studied.

关 键 词：Horadam数列 混合数 Horadam混合数列 Horadam 2-参数广义混合数列 矩阵表示 

分 类 号：O156.4[理学—数学]