A Study on Dual Hyperbolic Fibonacci and Lucas Numbers

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica

Azak Ayşe Zeynep¹  Cihan Arzu²  Güngör Mehmet Ali²  Tosun Murat² 

[1] Department of Mathematics and Science Education, Sakarya University, 54300Sakarya, Turkey.;Department of Mathematics, Sakarya University, 54187Sakarya, Turkey.;

关键词: dual-hyperbolic numbers;    dual-hyperbolic fibonacci numbers;    dual-hyperbolic lucas numbers;    primary 11b39;    secondary 11b83;   

DOI  :  10.2478/auom-2019-0002

来源: DOAJ

【 摘 要 】

In this study, the dual-hyperbolic Fibonacci and dual-hyperbolic Lucas numbers are introduced. Then, the fundamental identities are proven for these numbers. Additionally, we give the identities regarding negadual-hyperbolic Fibonacci and negadual-hyperbolic Lucas numbers. Finally, Binet formulas, D’Ocagne, Catalan and Cassini identities are obtained for dual-hyperbolic Fibonacci and dual-hyperbolic Lucas numbers.

【 授权许可】

Unknown