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关于Horadam 2-参数广义混合数列的探讨

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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.
A Study on Horadam 2-Parameter Generalized Hybrid Sequence
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.

Horadam sequencehybrid numberHoradam hybrid sequenceHoradam 2-parameter generalized hybrid sequencematrix representation

张超、邓勇

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喀什大学数学与统计学院,新疆 喀什 844000

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

2024

10.13933/j.cnki.2096-2134.2024.06.004

喀什大学学报
喀什师范学院

喀什大学学报

CHSSCD
影响因子：0.178
ISSN：2096-2134
年,卷(期)：2024.45(6)