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The - lucas hyperbolic, k quasi-hyperbolic tribonacci and quasi-hyperbolic tribonacci-lucas functions

Thesis Type: Doctorate

Institution Of The Thesis: Gazi University, Fen Bilimleri Enstitüsü, Turkey

Approval Date: 2014

Thesis Language: Turkish

Student: Huriye Azman

Supervisor: DURSUN TAŞCI

Abstract:

In this study, we define k-Lucas hyperbolic functions and study their hyperbolic and recurrence properties, and investigate the relations between this new k-Lucas hyperbolic functions and the k-Fibonacci hyperbolic functions. We study the quasi-sine Lucas functions. Also, we define 3D curves and surfaces for the k-Lucas hyperbolic functions. Finally, we define quasi-hyperbolic Tribonacci and quasi-hyperbolic Tribonacci-Lucas functions, likewise, study recurrence and hyperbolic properties of these new functions.