The $k$-Lucas Hyperbolic Functions

Authors

  • Dursun Taşçı Department of Mathematics, Gazi University, Faculty of Science, Teknikokullar, 06500 Ankara
  • Huriye Azman Department of Mathematics, Gazi University, Faculty of Science, Teknikokullar, 06500 Ankara

DOI:

https://doi.org/10.26713/cma.v5i1.199

Keywords:

Hyperbolic functions, Lucas numbers

Abstract

In this paper, we introduced and studied an extension of the classical hyperbolic functions. We de…ned $k$-Lucas hyperbolic functions and studied their hyperbolic and recurrence properties, and investigated the relations between this new $k$-Lucas hyperbolic functions and the $k$-Fibonacci hyperbolic functions, which were studied before by Falcon and Plaza. We also studied the quasi-sine $k$-Lucas functions.

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References

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Published

15-07-2014
CITATION

How to Cite

Taşçı, D., & Azman, H. (2014). The $k$-Lucas Hyperbolic Functions. Communications in Mathematics and Applications, 5(1), 11–21. https://doi.org/10.26713/cma.v5i1.199

Issue

Vol. 5 No. 1 (2014)

Section

Research Article

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