The Quasi-Hyperbolic Tribonacci and Quasi-Hyperbolic Tribonacci-Lucas Functions

Authors

  • Dursun Taşçı Gazi íœniversitesi, Fen Fakültesi, Matematik Bölümü, Teknikokullar, 06500 Ankara
  • Huriye Azman Gazi íœniversitesi, Fen Fakültesi, Matematik Bölümü, Teknikokullar, 06500 Ankara

DOI:

https://doi.org/10.26713/cma.v5i1.201

Keywords:

Tribonacci Numbers, Hyperbolic Functions, Quasi-Hyperbolic Functions

Abstract

In the present paper, we studied an extension of the classical hyperbolic functions. We wrote a new relation that is equal to the Binet formula of the Tribonacci-Lucas numbers. We defined the quasi-hyperbolic Tribonacci and quasi-hyperbolic Tribonacci-Lucas functions. Finally, we investigated the recurrence and hyperbolic properties of these new hyperbolic functions.

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Author Biographies

Dursun Taşçı, Gazi íœniversitesi, Fen Fakültesi, Matematik Bölümü, Teknikokullar, 06500 Ankara

Gazi íœniversitesi, Fen Fakültesi, Matematik Bölümü, Teknikokullar, 06500 Ankara, Türkiye

Huriye Azman, Gazi íœniversitesi, Fen Fakültesi, Matematik Bölümü, Teknikokullar, 06500 Ankara

Gazi íœniversitesi, Fen Fakültesi, Matematik Bölümü, Teknikokullar, 06500 Ankara, Türkiye

References

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Published

15-07-2014
CITATION

How to Cite

Taşçı, D., & Azman, H. (2014). The Quasi-Hyperbolic Tribonacci and Quasi-Hyperbolic Tribonacci-Lucas Functions. Communications in Mathematics and Applications, 5(1), 31–40. https://doi.org/10.26713/cma.v5i1.201

Issue

Vol. 5 No. 1 (2014)

Section

Research Article

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