Hyperbolic Jacobsthal Numbers

Can Murat Dikmen *

Department of Mathematics, Art and Science Faculty, Zonguldak Bulent Ecevit University, 67100, Zonguldak, Turkey.

*Author to whom correspondence should be addressed.


Abstract

In this paper, we introduce the Hyperbolic Jacobsthal numbers and we present recurrence relations, Binet's formulas, generating functions and the summation formulas for these numbers. Moreover, we investgate Lorentzian inner product for the hyperbolic Jacobsthal vectors.

Keywords: Jacobsthal numbers, hyperbolic numbers, hyperbolic jacobsthal numbers.


How to Cite

Dikmen, Can Murat. 2019. “Hyperbolic Jacobsthal Numbers”. Asian Research Journal of Mathematics 15 (4):1-9. https://doi.org/10.9734/arjom/2019/v15i430153.

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