Turkish Journal of Mathematics and Computer Science

Turkish Journal of Mathematics and Computer Science

On Generalized Hexanacci and Gaussian Generalized Hexanacci Numbers

Yazarlar: Yüksel SOYKAN, Nejla ÖZMEN

Cilt 13 , Sayı 1 , 2021 , Sayfalar 25 - 43

Konular:Matematik

DOI:10.47000/tjmcs.787578

Anahtar Kelimeler:Hexanacci numbers,Gaussian generalized Hexanacci numbers,Gaussian Hexanacci numbers,Gaussian Hexanacci-Lucas number

Özet: In this paper, we present Binet's formulas, generating functions, and the summation formulas for generalized Hexanacci numbers, and as special cases, we investigate Hexanacci and Hexanacci-Lucas numbers with their properties. Also, we define Gaussian generalized Hexanacci numbers and as special cases, we investigate Gaussian Hexanacci and Gaussian Hexanacci-Lucas numbers with their properties. Moreover, we give some identities for these numbers. Furthermore, we present matrix formulations of generalized Hexanacci numbers and Gaussian generalized Hexanacci numbers.


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@article{2021, title={On Generalized Hexanacci and Gaussian Generalized Hexanacci Numbers}, volume={13}, number={25–43}, publisher={Turkish Journal of Mathematics and Computer Science}, author={Yüksel SOYKAN,Nejla ÖZMEN}, year={2021} }
APA
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Yüksel SOYKAN,Nejla ÖZMEN. (2021). On Generalized Hexanacci and Gaussian Generalized Hexanacci Numbers (Vol. 13). Vol. 13. Turkish Journal of Mathematics and Computer Science.
MLA
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Yüksel SOYKAN,Nejla ÖZMEN. On Generalized Hexanacci and Gaussian Generalized Hexanacci Numbers. no. 25–43, Turkish Journal of Mathematics and Computer Science, 2021.