Oresme Hybrid Numbers and Hybrationals
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Authors: A. SZYNAL-LIANA AND I. WłOCH
DOI: 10.46793/KgJMat2405.747SL
Abstract:
In this paper we introduce and study Oresme hybrid numbers and hybrationals based on the known Oresme sequence. The main aim is to present these new concepts and to give some properties of Oresme hybrid numbers.
Keywords:
Oresme numbers, hybrid numbers, hybrationals.
References:
[1] C. K. Cook, Some sums related to sums of Oresme numbers, in: F.T. Howard (Eds.), Applications of Fibonacci Numbers, Springer, Dordrecht, 2004.
[2] A. F. Horadam, Basic properties of a certain generalized sequence of numbers, Fibonacci Quart. 3(3) (1965), 161–176.
[3] A. F. Horadam, Oresme numbers, Fibonacci Quart. 12(3) (1974), 267–270.
[4] M. Özdemir, Introduction to hybrid numbers, Adv. Appl. Clifford Algebr. 28(11) (2018), Article ID 11. https://doi.org/10.1007/s00006-018-0833-3
[5] A. Szynal-Liana, The Horadam hybrid numbers, Discuss. Math. Gen. Algebra Appl. 38(1) (2018), 91–98. http://dx.doi.org/10.7151/dmgaa.1287
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