喀什大学学报2024,Vol.45Issue(6) :18-22.DOI:10.13933/j.cnki.2096-2134.2024.06.004

关于Horadam 2-参数广义混合数列的探讨

A Study on Horadam 2-Parameter Generalized Hybrid Sequence

张超 邓勇
喀什大学学报2024,Vol.45Issue(6) :18-22.DOI:10.13933/j.cnki.2096-2134.2024.06.004

关于Horadam 2-参数广义混合数列的探讨

A Study on Horadam 2-Parameter Generalized Hybrid Sequence

张超 1邓勇1
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作者信息

  • 1. 喀什大学数学与统计学院,新疆 喀什 844000
  • 折叠

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.

Abstract

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

Key words

Horadam sequence/hybrid number/Horadam hybrid sequence/Horadam 2-parameter generalized hybrid sequence/matrix representation

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出版年

2024
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
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