SOME IDENTITIES FOR HYPERBOLIC TRIGONOMETRIC FUNCTIONS

Araştırma Makalesi

Yıl 2021, Cilt: 3 Sayı: 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

Yıl 2021, Cilt: 3 Sayı: 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

Toplam 9 adet kaynakça vardır.

Birincil Dil	İngilizce
Konular	Matematik
Bölüm	Makaleler
Yazarlar	Adem Şahin Müzeyyen Demir Bu kişi benim
Yayımlanma Tarihi	2 Haziran 2021
Kabul Tarihi	5 Nisan 2021
Yayımlandığı Sayı	Yıl 2021 Cilt: 3 Sayı: 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. Haziran 2021;3(1):15-19.
Chicago	Şahin, Adem, ve Müzeyyen Demir. “SOME IDENTITIES FOR HYPERBOLIC TRIGONOMETRIC FUNCTIONS”. Ikonion Journal of Mathematics 3, sy. 1 (Haziran 2021): 15-19.
EndNote	Şahin A, Demir M (01 Haziran 2021) SOME IDENTITIES FOR HYPERBOLIC TRIGONOMETRIC FUNCTIONS. Ikonion Journal of Mathematics 3 1 15–19.
IEEE	A. Şahin ve M. Demir, “SOME IDENTITIES FOR HYPERBOLIC TRIGONOMETRIC FUNCTIONS”, ikjm, c. 3, sy. 1, ss. 15–19, 2021.
ISNAD	Şahin, Adem - Demir, Müzeyyen. “SOME IDENTITIES FOR HYPERBOLIC TRIGONOMETRIC FUNCTIONS”. Ikonion Journal of Mathematics 3/1 (Haziran 2021), 15-19.
JAMA	Şahin A, Demir M. SOME IDENTITIES FOR HYPERBOLIC TRIGONOMETRIC FUNCTIONS. ikjm. 2021;3:15–19.
MLA	Şahin, Adem ve Müzeyyen Demir. “SOME IDENTITIES FOR HYPERBOLIC TRIGONOMETRIC FUNCTIONS”. Ikonion Journal of Mathematics, c. 3, sy. 1, 2021, ss. 15-19.
Vancouver	Şahin A, Demir M. SOME IDENTITIES FOR HYPERBOLIC TRIGONOMETRIC FUNCTIONS. ikjm. 2021;3(1):15-9.