___

• Aydin, F. T., Hyperbolic Fibonacci sequence, Universal Journal of Mathematics and Applications, 2(2) (2019), 59-64. https://doi.org/10.32323/ujma.473514
• Bala, A., Verma, V., Some properties of bi-variate bi-periodic Lucas polynomials, Annals of the Romanian Society for Cell Biology, 25(4) (2021), 8778-8784. https://www.annalsofrscb.ro/index.php/journal/article/view/3598.
• Bilgici, G., Two generalizations of Lucas sequence, Applied Mathematics and Computation, 245 (2014), 526-538. https://doi.org/10.1016/j.amc.2014.07.111.
• Catoni, F., Boccaletti, R., Cannata, R., Catoni, V., Nichelatti, E., Zampatti, P., The Mathematics of Minkowski Space-Time, Birkhauser, Basel, 2008.
• Dikmen, C.M., Hyperbolic Jacobsthal Numbers, Asian Research Journal of Mathematics, (2019) 1-9. https://doi.org/10.9734/arjom/2019/v15i430153
• Edson, M., Yayenie, O., A new generalization of Fibonacci sequences and extended Binet’s formula, Integers, 9(A48) (2009), 639-654. https://doi.org/10.1515/INTEG.2009.051
• Gargoubi, H., Kossentini, S., f-algebra structure on hyperbolic numbers, Adv. Appl. Clifford Algebr., 26(4) (2016), 1211-1233. https://doi.org/10.1007/s00006-016-0644-3
• Koshy, T., Fibonacci and Lucas Numbers with Applications, John Wiley and Sons Inc, NY, 2001.
• Khadjiev, D., Goksal Y., Applications of hyperbolic numbers to the invariant theory in two-dimensional pseudo-Euclidean space, Adv. Appl. Clifford Algebr., 26 (2016), 645-668. https://doi.org/10.1007/s00006-015-0627-9
• Khrennikov, A., Segre, G., An Introduction to Hyperbolic Analysis, arxiv, 2005. http://arxiv.org/abs/math-ph/0507053v2.
• Motter, A. E, Rosa, A. F., Hyperbolic calculus, Adv. Appl. Clifford Algebr., 8(1) (1998), 109-128.
• Sobczyk, G., The hyperbolic number plane, The College Mathematics Journal, 26(4) (1995), 268-280.
• Soykan, Y., On hyperbolic numbers with generalized Fibonacci numbers components, preprint, (2019).
• Soykan, Y., Gocen, M., Properties of hyperbolic generalized Pell numbers, Notes on Number Theory and Discrete Mathematics, 26(4) (2020), 136-153. https://doi.org/10.7546/nntdm.2020.26.4.136-153
• Tan, E., Leung, H.H., Some basic properties of the generalized bi-periodic Fibonacci and Lucas sequences, Advances in Difference Equations, 2020.1 (2020), 1-11. https://doi.org/10.1186/s13662-020-2507-4
• Tasyurdu, Y., Hyperbolic Tribonacci and Tribonacci-Lucas sequences, International Journal of Mathematical Analysis, 13(12) (2019), 565-572. https://doi.org/10.12988/ijma.2019.91167
• Verma, V., Bala, A., On properties of generalized bi-variate bi-periodic Fibonacci polynomials, International Journal of Advanced Science and Technology, 29(3) (2020), 8065-8072.
• Yayenie, O., A note on generalized Fibonacci sequence, Applied Mathematics and Computation, 217(12) (2011), 5603-5611. https://doi.org/10.1016/j.amc.2010.12.038