SOME IDENTITIES FOR HYPERBOLIC TRIGONOMETRIC FUNCTIONS

Research Article

Year 2021, Volume: 3 Issue: 1, 15 - 19, 02.06.2021

In this article, we give proofs of some properties provided by hyperbolic trigonometric functions defined in [4].

Azman, H., k-Lucas Hiperbolik, Yarı-Hiperbolik Tribonacci ve Yarı-Hiperbolik Tribonacci-Lucas Fonksiy- onları.Ph. D. Dissertation, Gazi Üniversitesi. Ankara.
Falcon, S., Plaza, A., The k-Fibonacci hyperbolic functions. Chaos. Solitons and Fractals. 38(2008), 409- 420.
Guncan, A.N., Erbil, Y., The q-Fibonacci Hyperbolic Functions. Appl. Math. 8(2014), 81-88.
Li, H. ve MacHenry, T., 2013. The convolution ring of arithmetic functions and symmetric polynmials, Rocky Mount. Math.,(43),1-33
Rearick, D., Operators on algepras os aritmetic functions. Duke. Math. J. 35(1968), 761-766.
Stakhov, A., Rozin, B., On a new class of hyperbolic functions. Chaos. Solitons and Fractals. 23(2005), 379-389.
Stakhov, A., Rozin, B., The Golden Shofar. Chaos. Solitons and Fractals. 26(3)(2005), 677-684.
Stakhov, A., Rozin, B., The continuos functions for the Fibonacci and Lucas p-numbers. Chaos. Solitons and Fractals. 28(4)(2006), 1014-1025.
Stakov, A., Aranson, S., Hyperbolic Fibonacci and Lucas Functions, "Golden" Fibonacci Goniometry. Bodnar's Geometry and Hilbert's Fourth Problem. Appl. Math. 2(2011), 74-84

Year 2021, Volume: 3 Issue: 1, 15 - 19, 02.06.2021

Azman, H., k-Lucas Hiperbolik, Yarı-Hiperbolik Tribonacci ve Yarı-Hiperbolik Tribonacci-Lucas Fonksiy- onları.Ph. D. Dissertation, Gazi Üniversitesi. Ankara.
Falcon, S., Plaza, A., The k-Fibonacci hyperbolic functions. Chaos. Solitons and Fractals. 38(2008), 409- 420.
Guncan, A.N., Erbil, Y., The q-Fibonacci Hyperbolic Functions. Appl. Math. 8(2014), 81-88.
Li, H. ve MacHenry, T., 2013. The convolution ring of arithmetic functions and symmetric polynmials, Rocky Mount. Math.,(43),1-33
Rearick, D., Operators on algepras os aritmetic functions. Duke. Math. J. 35(1968), 761-766.
Stakhov, A., Rozin, B., On a new class of hyperbolic functions. Chaos. Solitons and Fractals. 23(2005), 379-389.
Stakhov, A., Rozin, B., The Golden Shofar. Chaos. Solitons and Fractals. 26(3)(2005), 677-684.
Stakhov, A., Rozin, B., The continuos functions for the Fibonacci and Lucas p-numbers. Chaos. Solitons and Fractals. 28(4)(2006), 1014-1025.
Stakov, A., Aranson, S., Hyperbolic Fibonacci and Lucas Functions, "Golden" Fibonacci Goniometry. Bodnar's Geometry and Hilbert's Fourth Problem. Appl. Math. 2(2011), 74-84

There are 9 citations in total.

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Articles
Authors	Adem Şahin Müzeyyen Demir This is me
Publication Date	June 2, 2021
Acceptance Date	April 5, 2021
Published in Issue	Year 2021 Volume: 3 Issue: 1

APA	Şahin, A., & Demir, M. (2021). SOME IDENTITIES FOR HYPERBOLIC TRIGONOMETRIC FUNCTIONS. Ikonion Journal of Mathematics, 3(1), 15-19.
AMA	Şahin A, Demir M. SOME IDENTITIES FOR HYPERBOLIC TRIGONOMETRIC FUNCTIONS. ikjm. June 2021;3(1):15-19.
Chicago	Şahin, Adem, and Müzeyyen Demir. “SOME IDENTITIES FOR HYPERBOLIC TRIGONOMETRIC FUNCTIONS”. Ikonion Journal of Mathematics 3, no. 1 (June 2021): 15-19.
EndNote	Şahin A, Demir M (June 1, 2021) SOME IDENTITIES FOR HYPERBOLIC TRIGONOMETRIC FUNCTIONS. Ikonion Journal of Mathematics 3 1 15–19.
IEEE	A. Şahin and M. Demir, “SOME IDENTITIES FOR HYPERBOLIC TRIGONOMETRIC FUNCTIONS”, ikjm, vol. 3, no. 1, pp. 15–19, 2021.
ISNAD	Şahin, Adem - Demir, Müzeyyen. “SOME IDENTITIES FOR HYPERBOLIC TRIGONOMETRIC FUNCTIONS”. Ikonion Journal of Mathematics 3/1 (June 2021), 15-19.
JAMA	Şahin A, Demir M. SOME IDENTITIES FOR HYPERBOLIC TRIGONOMETRIC FUNCTIONS. ikjm. 2021;3:15–19.
MLA	Şahin, Adem and Müzeyyen Demir. “SOME IDENTITIES FOR HYPERBOLIC TRIGONOMETRIC FUNCTIONS”. Ikonion Journal of Mathematics, vol. 3, no. 1, 2021, pp. 15-19.
Vancouver	Şahin A, Demir M. SOME IDENTITIES FOR HYPERBOLIC TRIGONOMETRIC FUNCTIONS. ikjm. 2021;3(1):15-9.