GENERALIZED BIVARIATE CONDITIONAL FIBONACCI AND LUCAS HYBRINOMIALS

被引：1
|
作者：
Kome, Sure [1 ]
Dallaroglu, Zeynep Kumtas [1 ]
机构：
[1] Nevsehir Haci Bektas Veli Univ, Dept Math, Nevsehir, Turkiye
来源：
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2024年 / 73卷 / 01期
关键词：
Bivariate conditional polynomials; hybrid numbers; Binet formula's; generating function; Catalan's identities; Cassini's identities;
D O I：
10.31801/cfsuasmas.1249576
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Hybrid numbers are generalizations of complex, hyperbolic and dual numbers. In recent years, studies related with hybrid numbers have been increased significantly. In this paper, we introduce the generalized bivariate conditional Fibonacci and Lucas hybrinomials. Also, we present the Binet formula, generating functions, some significant identities, Catalan's identities and Cassini's identities of the generalized bivariate conditional Fibonacci and Lucas hybrinomials. Finally, we give more general results compared to the previous works.
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页码：37 / 63
页数：27
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